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Finding the Fourth Proportional to 31,683.84, 43,723.17 and 17,536.38

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Solution

The fourth proportional to 31,683.84, 43,723.17 and 17,536.38 is: 24,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,683.84 : 43,723.17 = 17,536.38 : x
  2. Step 2: Convert to fraction form
    31,683.84/43,723.17 = 17,536.38/x
  3. Step 3: Cross multiply
    31,683.84x = 43,723.17 × 17,536.38
  4. Step 4: Simplify right side
    31,683.84x = 766,746,123.92
  5. Step 5: Solve for x
    x = 766,746,123.92/31,683.84
  6. Step 6: Final answer
    x = 24,199.91

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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.