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Finding the Fourth Proportional to 98,287.91, 147,344.58 and 38,302.49

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Solution

The fourth proportional to 98,287.91, 147,344.58 and 38,302.49 is: 57,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,287.91 : 147,344.58 = 38,302.49 : x
  2. Step 2: Convert to fraction form
    98,287.91/147,344.58 = 38,302.49/x
  3. Step 3: Cross multiply
    98,287.91x = 147,344.58 × 38,302.49
  4. Step 4: Simplify right side
    98,287.91x = 5,643,664,302.00
  5. Step 5: Solve for x
    x = 5,643,664,302.00/98,287.91
  6. Step 6: Final answer
    x = 57,419.72

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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.