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Finding the Fourth Proportional to 42,468.92, 63,703.53 and 12,887

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Solution

The fourth proportional to 42,468.92, 63,703.53 and 12,887 is: 19,330.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,468.92 : 63,703.53 = 12,887 : x
  2. Step 2: Convert to fraction form
    42,468.92/63,703.53 = 12,887/x
  3. Step 3: Cross multiply
    42,468.92x = 63,703.53 × 12,887
  4. Step 4: Simplify right side
    42,468.92x = 820,947,391.11
  5. Step 5: Solve for x
    x = 820,947,391.11/42,468.92
  6. Step 6: Final answer
    x = 19,330.55

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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.