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Finding the Fourth Proportional to 52,456.16, 78,695.42 and 16,919.47

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Solution

The fourth proportional to 52,456.16, 78,695.42 and 16,919.47 is: 25,382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,456.16 : 78,695.42 = 16,919.47 : x
  2. Step 2: Convert to fraction form
    52,456.16/78,695.42 = 16,919.47/x
  3. Step 3: Cross multiply
    52,456.16x = 78,695.42 × 16,919.47
  4. Step 4: Simplify right side
    52,456.16x = 1,331,484,938.50
  5. Step 5: Solve for x
    x = 1,331,484,938.50/52,456.16
  6. Step 6: Final answer
    x = 25,382.82

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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.