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Finding the Fourth Proportional to 52,071.60, 71,824.65 and 36,780.60

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Solution

The fourth proportional to 52,071.60, 71,824.65 and 36,780.60 is: 50,733.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,071.60 : 71,824.65 = 36,780.60 : x
  2. Step 2: Convert to fraction form
    52,071.60/71,824.65 = 36,780.60/x
  3. Step 3: Cross multiply
    52,071.60x = 71,824.65 × 36,780.60
  4. Step 4: Simplify right side
    52,071.60x = 2,641,753,721.79
  5. Step 5: Solve for x
    x = 2,641,753,721.79/52,071.60
  6. Step 6: Final answer
    x = 50,733.10

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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.