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Finding the Fourth Proportional to 55,971.79, 83,957.49 and 22,691.78

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Solution

The fourth proportional to 55,971.79, 83,957.49 and 22,691.78 is: 34,037.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,971.79 : 83,957.49 = 22,691.78 : x
  2. Step 2: Convert to fraction form
    55,971.79/83,957.49 = 22,691.78/x
  3. Step 3: Cross multiply
    55,971.79x = 83,957.49 × 22,691.78
  4. Step 4: Simplify right side
    55,971.79x = 1,905,144,472.64
  5. Step 5: Solve for x
    x = 1,905,144,472.64/55,971.79
  6. Step 6: Final answer
    x = 34,037.58

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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.