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Finding the Fourth Proportional to 64,691.82, 96,998.81 and 24,713.46

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Solution

The fourth proportional to 64,691.82, 96,998.81 and 24,713.46 is: 37,055.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,691.82 : 96,998.81 = 24,713.46 : x
  2. Step 2: Convert to fraction form
    64,691.82/96,998.81 = 24,713.46/x
  3. Step 3: Cross multiply
    64,691.82x = 96,998.81 × 24,713.46
  4. Step 4: Simplify right side
    64,691.82x = 2,397,176,087.42
  5. Step 5: Solve for x
    x = 2,397,176,087.42/64,691.82
  6. Step 6: Final answer
    x = 37,055.32

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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.