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Finding the Fourth Proportional to 65,310.42, 90,147 and 38,468.40

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Solution

The fourth proportional to 65,310.42, 90,147 and 38,468.40 is: 53,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,310.42 : 90,147 = 38,468.40 : x
  2. Step 2: Convert to fraction form
    65,310.42/90,147 = 38,468.40/x
  3. Step 3: Cross multiply
    65,310.42x = 90,147 × 38,468.40
  4. Step 4: Simplify right side
    65,310.42x = 3,467,810,854.80
  5. Step 5: Solve for x
    x = 3,467,810,854.80/65,310.42
  6. Step 6: Final answer
    x = 53,097.36

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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.