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Finding the Fourth Proportional to 29,616.46, 40,871.36 and 16,188.58

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Solution

The fourth proportional to 29,616.46, 40,871.36 and 16,188.58 is: 22,340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,616.46 : 40,871.36 = 16,188.58 : x
  2. Step 2: Convert to fraction form
    29,616.46/40,871.36 = 16,188.58/x
  3. Step 3: Cross multiply
    29,616.46x = 40,871.36 × 16,188.58
  4. Step 4: Simplify right side
    29,616.46x = 661,649,281.07
  5. Step 5: Solve for x
    x = 661,649,281.07/29,616.46
  6. Step 6: Final answer
    x = 22,340.59

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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.