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Finding the Fourth Proportional to 52,177.74, 78,257.49 and 24,095.40

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Solution

The fourth proportional to 52,177.74, 78,257.49 and 24,095.40 is: 36,138.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,177.74 : 78,257.49 = 24,095.40 : x
  2. Step 2: Convert to fraction form
    52,177.74/78,257.49 = 24,095.40/x
  3. Step 3: Cross multiply
    52,177.74x = 78,257.49 × 24,095.40
  4. Step 4: Simplify right side
    52,177.74x = 1,885,645,524.55
  5. Step 5: Solve for x
    x = 1,885,645,524.55/52,177.74
  6. Step 6: Final answer
    x = 36,138.89

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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.