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Finding the Fourth Proportional to 83,226.90, 124,871.78 and 49,970.15

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Solution

The fourth proportional to 83,226.90, 124,871.78 and 49,970.15 is: 74,974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,226.90 : 124,871.78 = 49,970.15 : x
  2. Step 2: Convert to fraction form
    83,226.90/124,871.78 = 49,970.15/x
  3. Step 3: Cross multiply
    83,226.90x = 124,871.78 × 49,970.15
  4. Step 4: Simplify right side
    83,226.90x = 6,239,861,577.37
  5. Step 5: Solve for x
    x = 6,239,861,577.37/83,226.90
  6. Step 6: Final answer
    x = 74,974.10

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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.