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Finding the Fourth Proportional to 64,844.90, 97,311.12 and 25,397.12

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Solution

The fourth proportional to 64,844.90, 97,311.12 and 25,397.12 is: 38,112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,844.90 : 97,311.12 = 25,397.12 : x
  2. Step 2: Convert to fraction form
    64,844.90/97,311.12 = 25,397.12/x
  3. Step 3: Cross multiply
    64,844.90x = 97,311.12 × 25,397.12
  4. Step 4: Simplify right side
    64,844.90x = 2,471,422,191.97
  5. Step 5: Solve for x
    x = 2,471,422,191.97/64,844.90
  6. Step 6: Final answer
    x = 38,112.82

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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.