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Finding the Fourth Proportional to 65,293.39, 97,882.65 and 25,878.17

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Solution

The fourth proportional to 65,293.39, 97,882.65 and 25,878.17 is: 38,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,293.39 : 97,882.65 = 25,878.17 : x
  2. Step 2: Convert to fraction form
    65,293.39/97,882.65 = 25,878.17/x
  3. Step 3: Cross multiply
    65,293.39x = 97,882.65 × 25,878.17
  4. Step 4: Simplify right side
    65,293.39x = 2,533,023,856.75
  5. Step 5: Solve for x
    x = 2,533,023,856.75/65,293.39
  6. Step 6: Final answer
    x = 38,794.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.