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Finding the Fourth Proportional to 29,098.80, 40,154.38 and 17,161.56

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Solution

The fourth proportional to 29,098.80, 40,154.38 and 17,161.56 is: 23,681.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,098.80 : 40,154.38 = 17,161.56 : x
  2. Step 2: Convert to fraction form
    29,098.80/40,154.38 = 17,161.56/x
  3. Step 3: Cross multiply
    29,098.80x = 40,154.38 × 17,161.56
  4. Step 4: Simplify right side
    29,098.80x = 689,111,801.63
  5. Step 5: Solve for x
    x = 689,111,801.63/29,098.80
  6. Step 6: Final answer
    x = 23,681.79

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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.