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Finding the Fourth Proportional to 52,380.96, 72,285.68 and 28,507.60

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Solution

The fourth proportional to 52,380.96, 72,285.68 and 28,507.60 is: 39,340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,380.96 : 72,285.68 = 28,507.60 : x
  2. Step 2: Convert to fraction form
    52,380.96/72,285.68 = 28,507.60/x
  3. Step 3: Cross multiply
    52,380.96x = 72,285.68 × 28,507.60
  4. Step 4: Simplify right side
    52,380.96x = 2,060,691,251.17
  5. Step 5: Solve for x
    x = 2,060,691,251.17/52,380.96
  6. Step 6: Final answer
    x = 39,340.46

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Why These Related Problems?

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