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Finding the Fourth Proportional to 32,914.71, 49,275.14 and 20,394.47

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Solution

The fourth proportional to 32,914.71, 49,275.14 and 20,394.47 is: 30,531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,914.71 : 49,275.14 = 20,394.47 : x
  2. Step 2: Convert to fraction form
    32,914.71/49,275.14 = 20,394.47/x
  3. Step 3: Cross multiply
    32,914.71x = 49,275.14 × 20,394.47
  4. Step 4: Simplify right side
    32,914.71x = 1,004,940,385.69
  5. Step 5: Solve for x
    x = 1,004,940,385.69/32,914.71
  6. Step 6: Final answer
    x = 30,531.65

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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.