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Finding the Fourth Proportional to 83,041.83, 124,488.70 and 30,439.01

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Solution

The fourth proportional to 83,041.83, 124,488.70 and 30,439.01 is: 45,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,041.83 : 124,488.70 = 30,439.01 : x
  2. Step 2: Convert to fraction form
    83,041.83/124,488.70 = 30,439.01/x
  3. Step 3: Cross multiply
    83,041.83x = 124,488.70 × 30,439.01
  4. Step 4: Simplify right side
    83,041.83x = 3,789,313,019.31
  5. Step 5: Solve for x
    x = 3,789,313,019.31/83,041.83
  6. Step 6: Final answer
    x = 45,631.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.