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Finding the Fourth Proportional to 57,777.30, 86,572.80 and 32,742.90

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Solution

The fourth proportional to 57,777.30, 86,572.80 and 32,742.90 is: 49,061.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,777.30 : 86,572.80 = 32,742.90 : x
  2. Step 2: Convert to fraction form
    57,777.30/86,572.80 = 32,742.90/x
  3. Step 3: Cross multiply
    57,777.30x = 86,572.80 × 32,742.90
  4. Step 4: Simplify right side
    57,777.30x = 2,834,644,533.12
  5. Step 5: Solve for x
    x = 2,834,644,533.12/57,777.30
  6. Step 6: Final answer
    x = 49,061.56

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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.