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Finding the Fourth Proportional to 96,348,342.80, 144,480,523.80 and 38,821,494.80

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Solution

The fourth proportional to 96,348,342.80, 144,480,523.80 and 38,821,494.80 is: 58,215,323.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,348,342.80 : 144,480,523.80 = 38,821,494.80 : x
  2. Step 2: Convert to fraction form
    96,348,342.80/144,480,523.80 = 38,821,494.80/x
  3. Step 3: Cross multiply
    96,348,342.80x = 144,480,523.80 × 38,821,494.80
  4. Step 4: Simplify right side
    96,348,342.80x = 5,608,949,903,402,976
  5. Step 5: Solve for x
    x = 5,608,949,903,402,976/96,348,342.80
  6. Step 6: Final answer
    x = 58,215,323.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.