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Finding the Fourth Proportional to 81,536.93, 122,292.27 and 22,358.87

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Solution

The fourth proportional to 81,536.93, 122,292.27 and 22,358.87 is: 33,534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,536.93 : 122,292.27 = 22,358.87 : x
  2. Step 2: Convert to fraction form
    81,536.93/122,292.27 = 22,358.87/x
  3. Step 3: Cross multiply
    81,536.93x = 122,292.27 × 22,358.87
  4. Step 4: Simplify right side
    81,536.93x = 2,734,316,966.93
  5. Step 5: Solve for x
    x = 2,734,316,966.93/81,536.93
  6. Step 6: Final answer
    x = 33,534.71

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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.