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Finding the Fourth Proportional to 34,171.52, 51,275.52 and 13,395.20

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Solution

The fourth proportional to 34,171.52, 51,275.52 and 13,395.20 is: 20,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,171.52 : 51,275.52 = 13,395.20 : x
  2. Step 2: Convert to fraction form
    34,171.52/51,275.52 = 13,395.20/x
  3. Step 3: Cross multiply
    34,171.52x = 51,275.52 × 13,395.20
  4. Step 4: Simplify right side
    34,171.52x = 686,845,845.50
  5. Step 5: Solve for x
    x = 686,845,845.50/34,171.52
  6. Step 6: Final answer
    x = 20,099.95

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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.