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Finding the Fourth Proportional to 83,294.46, 124,928.73 and 27,877.50

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Solution

The fourth proportional to 83,294.46, 124,928.73 and 27,877.50 is: 41,811.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,294.46 : 124,928.73 = 27,877.50 : x
  2. Step 2: Convert to fraction form
    83,294.46/124,928.73 = 27,877.50/x
  3. Step 3: Cross multiply
    83,294.46x = 124,928.73 × 27,877.50
  4. Step 4: Simplify right side
    83,294.46x = 3,482,700,670.58
  5. Step 5: Solve for x
    x = 3,482,700,670.58/83,294.46
  6. Step 6: Final answer
    x = 41,811.91

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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.