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Finding the Fourth Proportional to 29,801.52, 41,162.48 and 22,281.24

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Solution

The fourth proportional to 29,801.52, 41,162.48 and 22,281.24 is: 30,775.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,801.52 : 41,162.48 = 22,281.24 : x
  2. Step 2: Convert to fraction form
    29,801.52/41,162.48 = 22,281.24/x
  3. Step 3: Cross multiply
    29,801.52x = 41,162.48 × 22,281.24
  4. Step 4: Simplify right side
    29,801.52x = 917,151,222.38
  5. Step 5: Solve for x
    x = 917,151,222.38/29,801.52
  6. Step 6: Final answer
    x = 30,775.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.