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Finding the Fourth Proportional to 96,403.93, 144,612.63 and 29,835.30

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Solution

The fourth proportional to 96,403.93, 144,612.63 and 29,835.30 is: 44,755.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,403.93 : 144,612.63 = 29,835.30 : x
  2. Step 2: Convert to fraction form
    96,403.93/144,612.63 = 29,835.30/x
  3. Step 3: Cross multiply
    96,403.93x = 144,612.63 × 29,835.30
  4. Step 4: Simplify right side
    96,403.93x = 4,314,561,199.84
  5. Step 5: Solve for x
    x = 4,314,561,199.84/96,403.93
  6. Step 6: Final answer
    x = 44,755.03

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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.