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Finding the Fourth Proportional to 52,581.60, 78,872.40 and 32,898.60

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Solution

The fourth proportional to 52,581.60, 78,872.40 and 32,898.60 is: 49,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,581.60 : 78,872.40 = 32,898.60 : x
  2. Step 2: Convert to fraction form
    52,581.60/78,872.40 = 32,898.60/x
  3. Step 3: Cross multiply
    52,581.60x = 78,872.40 × 32,898.60
  4. Step 4: Simplify right side
    52,581.60x = 2,594,791,538.64
  5. Step 5: Solve for x
    x = 2,594,791,538.64/52,581.60
  6. Step 6: Final answer
    x = 49,347.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.