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Finding the Fourth Proportional to 52,211.61, 78,314.67 and 18,475.29

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Solution

The fourth proportional to 52,211.61, 78,314.67 and 18,475.29 is: 27,711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,211.61 : 78,314.67 = 18,475.29 : x
  2. Step 2: Convert to fraction form
    52,211.61/78,314.67 = 18,475.29/x
  3. Step 3: Cross multiply
    52,211.61x = 78,314.67 × 18,475.29
  4. Step 4: Simplify right side
    52,211.61x = 1,446,886,239.50
  5. Step 5: Solve for x
    x = 1,446,886,239.50/52,211.61
  6. Step 6: Final answer
    x = 27,711.96

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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.