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Finding the Fourth Proportional to 57,254.60, 85,881.90 and 39,758.60

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Solution

The fourth proportional to 57,254.60, 85,881.90 and 39,758.60 is: 59,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,254.60 : 85,881.90 = 39,758.60 : x
  2. Step 2: Convert to fraction form
    57,254.60/85,881.90 = 39,758.60/x
  3. Step 3: Cross multiply
    57,254.60x = 85,881.90 × 39,758.60
  4. Step 4: Simplify right side
    57,254.60x = 3,414,544,109.34
  5. Step 5: Solve for x
    x = 3,414,544,109.34/57,254.60
  6. Step 6: Final answer
    x = 59,637.90

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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.