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Finding the Fourth Proportional to 42,558.75, 63,838.14 and 11,394

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Solution

The fourth proportional to 42,558.75, 63,838.14 and 11,394 is: 17,091.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,558.75 : 63,838.14 = 11,394 : x
  2. Step 2: Convert to fraction form
    42,558.75/63,838.14 = 11,394/x
  3. Step 3: Cross multiply
    42,558.75x = 63,838.14 × 11,394
  4. Step 4: Simplify right side
    42,558.75x = 727,371,767.16
  5. Step 5: Solve for x
    x = 727,371,767.16/42,558.75
  6. Step 6: Final answer
    x = 17,091.00

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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.