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Finding the Fourth Proportional to 32,470, 44,808.66 and 17,566

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Solution

The fourth proportional to 32,470, 44,808.66 and 17,566 is: 24,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470 : 44,808.66 = 17,566 : x
  2. Step 2: Convert to fraction form
    32,470/44,808.66 = 17,566/x
  3. Step 3: Cross multiply
    32,470x = 44,808.66 × 17,566
  4. Step 4: Simplify right side
    32,470x = 787,108,921.56
  5. Step 5: Solve for x
    x = 787,108,921.56/32,470
  6. Step 6: Final answer
    x = 24,241.11

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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.