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Finding the Fourth Proportional to 29,416, 40,594.72 and 16,168

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Solution

The fourth proportional to 29,416, 40,594.72 and 16,168 is: 22,312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,416 : 40,594.72 = 16,168 : x
  2. Step 2: Convert to fraction form
    29,416/40,594.72 = 16,168/x
  3. Step 3: Cross multiply
    29,416x = 40,594.72 × 16,168
  4. Step 4: Simplify right side
    29,416x = 656,335,432.96
  5. Step 5: Solve for x
    x = 656,335,432.96/29,416
  6. Step 6: Final answer
    x = 22,312.19

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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.