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Finding the Fourth Proportional to 29,761.86, 41,061.19 and 17,005.89

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Solution

The fourth proportional to 29,761.86, 41,061.19 and 17,005.89 is: 23,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,761.86 : 41,061.19 = 17,005.89 : x
  2. Step 2: Convert to fraction form
    29,761.86/41,061.19 = 17,005.89/x
  3. Step 3: Cross multiply
    29,761.86x = 41,061.19 × 17,005.89
  4. Step 4: Simplify right side
    29,761.86x = 698,282,080.41
  5. Step 5: Solve for x
    x = 698,282,080.41/29,761.86
  6. Step 6: Final answer
    x = 23,462.31

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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.