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Finding the Fourth Proportional to 29,191.51, 40,282 and 16,444

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Solution

The fourth proportional to 29,191.51, 40,282 and 16,444 is: 22,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,191.51 : 40,282 = 16,444 : x
  2. Step 2: Convert to fraction form
    29,191.51/40,282 = 16,444/x
  3. Step 3: Cross multiply
    29,191.51x = 40,282 × 16,444
  4. Step 4: Simplify right side
    29,191.51x = 662,397,208
  5. Step 5: Solve for x
    x = 662,397,208/29,191.51
  6. Step 6: Final answer
    x = 22,691.43

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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.