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Finding the Fourth Proportional to 96,008, 144,035.04 and 30,344

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Solution

The fourth proportional to 96,008, 144,035.04 and 30,344 is: 45,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,008 : 144,035.04 = 30,344 : x
  2. Step 2: Convert to fraction form
    96,008/144,035.04 = 30,344/x
  3. Step 3: Cross multiply
    96,008x = 144,035.04 × 30,344
  4. Step 4: Simplify right side
    96,008x = 4,370,599,253.76
  5. Step 5: Solve for x
    x = 4,370,599,253.76/96,008
  6. Step 6: Final answer
    x = 45,523.28

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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.