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Finding the Fourth Proportional to 29,411, 40,587.20 and 16,163

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Solution

The fourth proportional to 29,411, 40,587.20 and 16,163 is: 22,304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,411 : 40,587.20 = 16,163 : x
  2. Step 2: Convert to fraction form
    29,411/40,587.20 = 16,163/x
  3. Step 3: Cross multiply
    29,411x = 40,587.20 × 16,163
  4. Step 4: Simplify right side
    29,411x = 656,010,913.60
  5. Step 5: Solve for x
    x = 656,010,913.60/29,411
  6. Step 6: Final answer
    x = 22,304.95

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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.