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Finding the Fourth Proportional to 96,389.60, 144,595.20 and 29,829.20

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Solution

The fourth proportional to 96,389.60, 144,595.20 and 29,829.20 is: 44,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,389.60 : 144,595.20 = 29,829.20 : x
  2. Step 2: Convert to fraction form
    96,389.60/144,595.20 = 29,829.20/x
  3. Step 3: Cross multiply
    96,389.60x = 144,595.20 × 29,829.20
  4. Step 4: Simplify right side
    96,389.60x = 4,313,159,139.84
  5. Step 5: Solve for x
    x = 4,313,159,139.84/96,389.60
  6. Step 6: Final answer
    x = 44,747.14

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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.