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Finding the Fourth Proportional to 57,023.40, 78,691.80 and 32,829.10

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Solution

The fourth proportional to 57,023.40, 78,691.80 and 32,829.10 is: 45,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,023.40 : 78,691.80 = 32,829.10 : x
  2. Step 2: Convert to fraction form
    57,023.40/78,691.80 = 32,829.10/x
  3. Step 3: Cross multiply
    57,023.40x = 78,691.80 × 32,829.10
  4. Step 4: Simplify right side
    57,023.40x = 2,583,380,971.38
  5. Step 5: Solve for x
    x = 2,583,380,971.38/57,023.40
  6. Step 6: Final answer
    x = 45,303.87

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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.