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Finding the Fourth Proportional to 29,451.16, 40,627.11 and 17,506

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Solution

The fourth proportional to 29,451.16, 40,627.11 and 17,506 is: 24,149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,451.16 : 40,627.11 = 17,506 : x
  2. Step 2: Convert to fraction form
    29,451.16/40,627.11 = 17,506/x
  3. Step 3: Cross multiply
    29,451.16x = 40,627.11 × 17,506
  4. Step 4: Simplify right side
    29,451.16x = 711,218,187.66
  5. Step 5: Solve for x
    x = 711,218,187.66/29,451.16
  6. Step 6: Final answer
    x = 24,149.07

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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.