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Finding the Fourth Proportional to 42,540, 63,839.22 and 14,838

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Solution

The fourth proportional to 42,540, 63,839.22 and 14,838 is: 22,267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,540 : 63,839.22 = 14,838 : x
  2. Step 2: Convert to fraction form
    42,540/63,839.22 = 14,838/x
  3. Step 3: Cross multiply
    42,540x = 63,839.22 × 14,838
  4. Step 4: Simplify right side
    42,540x = 947,246,346.36
  5. Step 5: Solve for x
    x = 947,246,346.36/42,540
  6. Step 6: Final answer
    x = 22,267.19

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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.