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Finding the Fourth Proportional to 56,819.52, 78,349.40 and 38,682

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Solution

The fourth proportional to 56,819.52, 78,349.40 and 38,682 is: 53,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,819.52 : 78,349.40 = 38,682 : x
  2. Step 2: Convert to fraction form
    56,819.52/78,349.40 = 38,682/x
  3. Step 3: Cross multiply
    56,819.52x = 78,349.40 × 38,682
  4. Step 4: Simplify right side
    56,819.52x = 3,030,711,490.80
  5. Step 5: Solve for x
    x = 3,030,711,490.80/56,819.52
  6. Step 6: Final answer
    x = 53,339.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.