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Finding the Fourth Proportional to 57,595.59, 86,405.13 and 32,646.78

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Solution

The fourth proportional to 57,595.59, 86,405.13 and 32,646.78 is: 48,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,595.59 : 86,405.13 = 32,646.78 : x
  2. Step 2: Convert to fraction form
    57,595.59/86,405.13 = 32,646.78/x
  3. Step 3: Cross multiply
    57,595.59x = 86,405.13 × 32,646.78
  4. Step 4: Simplify right side
    57,595.59x = 2,820,849,269.98
  5. Step 5: Solve for x
    x = 2,820,849,269.98/57,595.59
  6. Step 6: Final answer
    x = 48,976.83

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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.