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Finding the Fourth Proportional to 32,694.52, 49,032.60 and 9,314.68

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Solution

The fourth proportional to 32,694.52, 49,032.60 and 9,314.68 is: 13,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,694.52 : 49,032.60 = 9,314.68 : x
  2. Step 2: Convert to fraction form
    32,694.52/49,032.60 = 9,314.68/x
  3. Step 3: Cross multiply
    32,694.52x = 49,032.60 × 9,314.68
  4. Step 4: Simplify right side
    32,694.52x = 456,722,978.57
  5. Step 5: Solve for x
    x = 456,722,978.57/32,694.52
  6. Step 6: Final answer
    x = 13,969.40

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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.