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Finding the Fourth Proportional to 34,463.74, 51,687.06 and 9,502.69

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Solution

The fourth proportional to 34,463.74, 51,687.06 and 9,502.69 is: 14,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,463.74 : 51,687.06 = 9,502.69 : x
  2. Step 2: Convert to fraction form
    34,463.74/51,687.06 = 9,502.69/x
  3. Step 3: Cross multiply
    34,463.74x = 51,687.06 × 9,502.69
  4. Step 4: Simplify right side
    34,463.74x = 491,166,108.19
  5. Step 5: Solve for x
    x = 491,166,108.19/34,463.74
  6. Step 6: Final answer
    x = 14,251.68

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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.