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Finding the Fourth Proportional to 34,358.77, 51,489.56 and 14,617.45

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Solution

The fourth proportional to 34,358.77, 51,489.56 and 14,617.45 is: 21,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,358.77 : 51,489.56 = 14,617.45 : x
  2. Step 2: Convert to fraction form
    34,358.77/51,489.56 = 14,617.45/x
  3. Step 3: Cross multiply
    34,358.77x = 51,489.56 × 14,617.45
  4. Step 4: Simplify right side
    34,358.77x = 752,645,995.73
  5. Step 5: Solve for x
    x = 752,645,995.73/34,358.77
  6. Step 6: Final answer
    x = 21,905.50

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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.