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Finding the Fourth Proportional to 29,035.80, 40,073.22 and 16,461

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Solution

The fourth proportional to 29,035.80, 40,073.22 and 16,461 is: 22,718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,035.80 : 40,073.22 = 16,461 : x
  2. Step 2: Convert to fraction form
    29,035.80/40,073.22 = 16,461/x
  3. Step 3: Cross multiply
    29,035.80x = 40,073.22 × 16,461
  4. Step 4: Simplify right side
    29,035.80x = 659,645,274.42
  5. Step 5: Solve for x
    x = 659,645,274.42/29,035.80
  6. Step 6: Final answer
    x = 22,718.34

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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.