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Finding the Fourth Proportional to 83,001.54, 124,502.04 and 49,731.60

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Solution

The fourth proportional to 83,001.54, 124,502.04 and 49,731.60 is: 74,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,001.54 : 124,502.04 = 49,731.60 : x
  2. Step 2: Convert to fraction form
    83,001.54/124,502.04 = 49,731.60/x
  3. Step 3: Cross multiply
    83,001.54x = 124,502.04 × 49,731.60
  4. Step 4: Simplify right side
    83,001.54x = 6,191,685,652.46
  5. Step 5: Solve for x
    x = 6,191,685,652.46/83,001.54
  6. Step 6: Final answer
    x = 74,597.24

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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.