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Finding the Fourth Proportional to 42,534, 63,801.54 and 14,832

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Solution

The fourth proportional to 42,534, 63,801.54 and 14,832 is: 22,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,534 : 63,801.54 = 14,832 : x
  2. Step 2: Convert to fraction form
    42,534/63,801.54 = 14,832/x
  3. Step 3: Cross multiply
    42,534x = 63,801.54 × 14,832
  4. Step 4: Simplify right side
    42,534x = 946,304,441.28
  5. Step 5: Solve for x
    x = 946,304,441.28/42,534
  6. Step 6: Final answer
    x = 22,248.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.