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Finding the Fourth Proportional to 57,175.60, 85,763.40 and 38,464.60

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Solution

The fourth proportional to 57,175.60, 85,763.40 and 38,464.60 is: 57,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,175.60 : 85,763.40 = 38,464.60 : x
  2. Step 2: Convert to fraction form
    57,175.60/85,763.40 = 38,464.60/x
  3. Step 3: Cross multiply
    57,175.60x = 85,763.40 × 38,464.60
  4. Step 4: Simplify right side
    57,175.60x = 3,298,854,875.64
  5. Step 5: Solve for x
    x = 3,298,854,875.64/57,175.60
  6. Step 6: Final answer
    x = 57,696.90

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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.