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Finding the Fourth Proportional to 29,642.67, 40,908.20 and 17,071.47

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Solution

The fourth proportional to 29,642.67, 40,908.20 and 17,071.47 is: 23,559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,642.67 : 40,908.20 = 17,071.47 : x
  2. Step 2: Convert to fraction form
    29,642.67/40,908.20 = 17,071.47/x
  3. Step 3: Cross multiply
    29,642.67x = 40,908.20 × 17,071.47
  4. Step 4: Simplify right side
    29,642.67x = 698,363,109.05
  5. Step 5: Solve for x
    x = 698,363,109.05/29,642.67
  6. Step 6: Final answer
    x = 23,559.39

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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.