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Finding the Fourth Proportional to 42,242.75, 63,364.13 and 11,078

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Solution

The fourth proportional to 42,242.75, 63,364.13 and 11,078 is: 16,617

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,242.75 : 63,364.13 = 11,078 : x
  2. Step 2: Convert to fraction form
    42,242.75/63,364.13 = 11,078/x
  3. Step 3: Cross multiply
    42,242.75x = 63,364.13 × 11,078
  4. Step 4: Simplify right side
    42,242.75x = 701,947,776.75
  5. Step 5: Solve for x
    x = 701,947,776.75/42,242.75
  6. Step 6: Final answer
    x = 16,617

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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.