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Finding the Fourth Proportional to 34,292.60, 51,429.90 and 14,561

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Solution

The fourth proportional to 34,292.60, 51,429.90 and 14,561 is: 21,837.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,292.60 : 51,429.90 = 14,561 : x
  2. Step 2: Convert to fraction form
    34,292.60/51,429.90 = 14,561/x
  3. Step 3: Cross multiply
    34,292.60x = 51,429.90 × 14,561
  4. Step 4: Simplify right side
    34,292.60x = 748,870,773.90
  5. Step 5: Solve for x
    x = 748,870,773.90/34,292.60
  6. Step 6: Final answer
    x = 21,837.68

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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.