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Finding the Fourth Proportional to 57,182.80, 85,871.40 and 42,408.40

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Solution

The fourth proportional to 57,182.80, 85,871.40 and 42,408.40 is: 63,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,182.80 : 85,871.40 = 42,408.40 : x
  2. Step 2: Convert to fraction form
    57,182.80/85,871.40 = 42,408.40/x
  3. Step 3: Cross multiply
    57,182.80x = 85,871.40 × 42,408.40
  4. Step 4: Simplify right side
    57,182.80x = 3,641,668,679.76
  5. Step 5: Solve for x
    x = 3,641,668,679.76/57,182.80
  6. Step 6: Final answer
    x = 63,684.69

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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.