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Finding the Fourth Proportional to 71,091.84, 106,616.52 and 58,580.76

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Solution

The fourth proportional to 71,091.84, 106,616.52 and 58,580.76 is: 87,853.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,091.84 : 106,616.52 = 58,580.76 : x
  2. Step 2: Convert to fraction form
    71,091.84/106,616.52 = 58,580.76/x
  3. Step 3: Cross multiply
    71,091.84x = 106,616.52 × 58,580.76
  4. Step 4: Simplify right side
    71,091.84x = 6,245,676,770.16
  5. Step 5: Solve for x
    x = 6,245,676,770.16/71,091.84
  6. Step 6: Final answer
    x = 87,853.64

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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.