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Finding the Fourth Proportional to 53,711.32, 80,545.82 and 19,509

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Solution

The fourth proportional to 53,711.32, 80,545.82 and 19,509 is: 29,255.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,711.32 : 80,545.82 = 19,509 : x
  2. Step 2: Convert to fraction form
    53,711.32/80,545.82 = 19,509/x
  3. Step 3: Cross multiply
    53,711.32x = 80,545.82 × 19,509
  4. Step 4: Simplify right side
    53,711.32x = 1,571,368,304.84
  5. Step 5: Solve for x
    x = 1,571,368,304.84/53,711.32
  6. Step 6: Final answer
    x = 29,255.81

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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.