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Finding the Fourth Proportional to 75,044.20, 112,551.90 and 22,455.40

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Solution

The fourth proportional to 75,044.20, 112,551.90 and 22,455.40 is: 33,678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,044.20 : 112,551.90 = 22,455.40 : x
  2. Step 2: Convert to fraction form
    75,044.20/112,551.90 = 22,455.40/x
  3. Step 3: Cross multiply
    75,044.20x = 112,551.90 × 22,455.40
  4. Step 4: Simplify right side
    75,044.20x = 2,527,397,935.26
  5. Step 5: Solve for x
    x = 2,527,397,935.26/75,044.20
  6. Step 6: Final answer
    x = 33,678.79

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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.