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Finding the Fourth Proportional to 52,319.58, 78,374.16 and 24,200.16

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Solution

The fourth proportional to 52,319.58, 78,374.16 and 24,200.16 is: 36,251.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,319.58 : 78,374.16 = 24,200.16 : x
  2. Step 2: Convert to fraction form
    52,319.58/78,374.16 = 24,200.16/x
  3. Step 3: Cross multiply
    52,319.58x = 78,374.16 × 24,200.16
  4. Step 4: Simplify right side
    52,319.58x = 1,896,667,211.87
  5. Step 5: Solve for x
    x = 1,896,667,211.87/52,319.58
  6. Step 6: Final answer
    x = 36,251.58

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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.