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Finding the Fourth Proportional to 97,642.74, 146,464.92 and 63,937.20

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Solution

The fourth proportional to 97,642.74, 146,464.92 and 63,937.20 is: 95,906.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,642.74 : 146,464.92 = 63,937.20 : x
  2. Step 2: Convert to fraction form
    97,642.74/146,464.92 = 63,937.20/x
  3. Step 3: Cross multiply
    97,642.74x = 146,464.92 × 63,937.20
  4. Step 4: Simplify right side
    97,642.74x = 9,364,556,883.02
  5. Step 5: Solve for x
    x = 9,364,556,883.02/97,642.74
  6. Step 6: Final answer
    x = 95,906.33

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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.