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Finding the Fourth Proportional to 83,101.80, 124,579.80 and 49,835.10

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Solution

The fourth proportional to 83,101.80, 124,579.80 and 49,835.10 is: 74,708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,101.80 : 124,579.80 = 49,835.10 : x
  2. Step 2: Convert to fraction form
    83,101.80/124,579.80 = 49,835.10/x
  3. Step 3: Cross multiply
    83,101.80x = 124,579.80 × 49,835.10
  4. Step 4: Simplify right side
    83,101.80x = 6,208,446,790.98
  5. Step 5: Solve for x
    x = 6,208,446,790.98/83,101.80
  6. Step 6: Final answer
    x = 74,708.93

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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.