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Finding the Fourth Proportional to 32,959.31, 49,442.00 and 10,772.80

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Solution

The fourth proportional to 32,959.31, 49,442.00 and 10,772.80 is: 16,160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,959.31 : 49,442.00 = 10,772.80 : x
  2. Step 2: Convert to fraction form
    32,959.31/49,442.00 = 10,772.80/x
  3. Step 3: Cross multiply
    32,959.31x = 49,442.00 × 10,772.80
  4. Step 4: Simplify right side
    32,959.31x = 532,628,600.13
  5. Step 5: Solve for x
    x = 532,628,600.13/32,959.31
  6. Step 6: Final answer
    x = 16,160.19

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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.