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Finding the Fourth Proportional to 34,952.28, 52,424.72 and 9,990.68

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Solution

The fourth proportional to 34,952.28, 52,424.72 and 9,990.68 is: 14,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,952.28 : 52,424.72 = 9,990.68 : x
  2. Step 2: Convert to fraction form
    34,952.28/52,424.72 = 9,990.68/x
  3. Step 3: Cross multiply
    34,952.28x = 52,424.72 × 9,990.68
  4. Step 4: Simplify right side
    34,952.28x = 523,758,601.61
  5. Step 5: Solve for x
    x = 523,758,601.61/34,952.28
  6. Step 6: Final answer
    x = 14,984.96

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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.