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Finding the Fourth Proportional to 65,458.96, 90,329.04 and 38,600.20

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Solution

The fourth proportional to 65,458.96, 90,329.04 and 38,600.20 is: 53,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,458.96 : 90,329.04 = 38,600.20 : x
  2. Step 2: Convert to fraction form
    65,458.96/90,329.04 = 38,600.20/x
  3. Step 3: Cross multiply
    65,458.96x = 90,329.04 × 38,600.20
  4. Step 4: Simplify right side
    65,458.96x = 3,486,719,009.81
  5. Step 5: Solve for x
    x = 3,486,719,009.81/65,458.96
  6. Step 6: Final answer
    x = 53,265.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.