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Finding the Fourth Proportional to 98,287.92, 147,344.58 and 38,302.50

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Solution

The fourth proportional to 98,287.92, 147,344.58 and 38,302.50 is: 57,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,287.92 : 147,344.58 = 38,302.50 : x
  2. Step 2: Convert to fraction form
    98,287.92/147,344.58 = 38,302.50/x
  3. Step 3: Cross multiply
    98,287.92x = 147,344.58 × 38,302.50
  4. Step 4: Simplify right side
    98,287.92x = 5,643,665,775.45
  5. Step 5: Solve for x
    x = 5,643,665,775.45/98,287.92
  6. Step 6: Final answer
    x = 57,419.73

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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.