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Finding the Fourth Proportional to 83,227.57, 124,872.80 and 49,970.83

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Solution

The fourth proportional to 83,227.57, 124,872.80 and 49,970.83 is: 74,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,227.57 : 124,872.80 = 49,970.83 : x
  2. Step 2: Convert to fraction form
    83,227.57/124,872.80 = 49,970.83/x
  3. Step 3: Cross multiply
    83,227.57x = 124,872.80 × 49,970.83
  4. Step 4: Simplify right side
    83,227.57x = 6,239,997,460.42
  5. Step 5: Solve for x
    x = 6,239,997,460.42/83,227.57
  6. Step 6: Final answer
    x = 74,975.12

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1.5x scale

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.