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Finding the Fourth Proportional to 34,659.14, 51,988.70 and 8,363.88

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Solution

The fourth proportional to 34,659.14, 51,988.70 and 8,363.88 is: 12,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,659.14 : 51,988.70 = 8,363.88 : x
  2. Step 2: Convert to fraction form
    34,659.14/51,988.70 = 8,363.88/x
  3. Step 3: Cross multiply
    34,659.14x = 51,988.70 × 8,363.88
  4. Step 4: Simplify right side
    34,659.14x = 434,827,269.07
  5. Step 5: Solve for x
    x = 434,827,269.07/34,659.14
  6. Step 6: Final answer
    x = 12,545.82

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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.