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Finding the Fourth Proportional to 52,496.14, 78,781.13 and 47,476.98

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Solution

The fourth proportional to 52,496.14, 78,781.13 and 47,476.98 is: 71,248.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,496.14 : 78,781.13 = 47,476.98 : x
  2. Step 2: Convert to fraction form
    52,496.14/78,781.13 = 47,476.98/x
  3. Step 3: Cross multiply
    52,496.14x = 78,781.13 × 47,476.98
  4. Step 4: Simplify right side
    52,496.14x = 3,740,290,133.39
  5. Step 5: Solve for x
    x = 3,740,290,133.39/52,496.14
  6. Step 6: Final answer
    x = 71,248.86

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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.