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Finding the Fourth Proportional to 55,285.60, 82,928.40 and 13,732.60

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Solution

The fourth proportional to 55,285.60, 82,928.40 and 13,732.60 is: 20,598.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,285.60 : 82,928.40 = 13,732.60 : x
  2. Step 2: Convert to fraction form
    55,285.60/82,928.40 = 13,732.60/x
  3. Step 3: Cross multiply
    55,285.60x = 82,928.40 × 13,732.60
  4. Step 4: Simplify right side
    55,285.60x = 1,138,822,545.84
  5. Step 5: Solve for x
    x = 1,138,822,545.84/55,285.60
  6. Step 6: Final answer
    x = 20,598.90

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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.