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Finding the Fourth Proportional to 41,937.30, 62,903.92 and 15,640

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Solution

The fourth proportional to 41,937.30, 62,903.92 and 15,640 is: 23,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,937.30 : 62,903.92 = 15,640 : x
  2. Step 2: Convert to fraction form
    41,937.30/62,903.92 = 15,640/x
  3. Step 3: Cross multiply
    41,937.30x = 62,903.92 × 15,640
  4. Step 4: Simplify right side
    41,937.30x = 983,817,308.80
  5. Step 5: Solve for x
    x = 983,817,308.80/41,937.30
  6. Step 6: Final answer
    x = 23,459.24

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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.