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Finding the Fourth Proportional to 29,987, 41,385.71 and 17,411.75

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Solution

The fourth proportional to 29,987, 41,385.71 and 17,411.75 is: 24,030.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,987 : 41,385.71 = 17,411.75 : x
  2. Step 2: Convert to fraction form
    29,987/41,385.71 = 17,411.75/x
  3. Step 3: Cross multiply
    29,987x = 41,385.71 × 17,411.75
  4. Step 4: Simplify right side
    29,987x = 720,597,636.09
  5. Step 5: Solve for x
    x = 720,597,636.09/29,987
  6. Step 6: Final answer
    x = 24,030.33

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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.