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Finding the Fourth Proportional to 83,041.60, 124,486.80 and 30,438.40

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Solution

The fourth proportional to 83,041.60, 124,486.80 and 30,438.40 is: 45,629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,041.60 : 124,486.80 = 30,438.40 : x
  2. Step 2: Convert to fraction form
    83,041.60/124,486.80 = 30,438.40/x
  3. Step 3: Cross multiply
    83,041.60x = 124,486.80 × 30,438.40
  4. Step 4: Simplify right side
    83,041.60x = 3,789,179,013.12
  5. Step 5: Solve for x
    x = 3,789,179,013.12/83,041.60
  6. Step 6: Final answer
    x = 45,629.89

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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.