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Finding the Fourth Proportional to 65,337.90, 98,039.28 and 25,894.14

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Solution

The fourth proportional to 65,337.90, 98,039.28 and 25,894.14 is: 38,854.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,337.90 : 98,039.28 = 25,894.14 : x
  2. Step 2: Convert to fraction form
    65,337.90/98,039.28 = 25,894.14/x
  3. Step 3: Cross multiply
    65,337.90x = 98,039.28 × 25,894.14
  4. Step 4: Simplify right side
    65,337.90x = 2,538,642,841.82
  5. Step 5: Solve for x
    x = 2,538,642,841.82/65,337.90
  6. Step 6: Final answer
    x = 38,854.06

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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.