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Finding the Fourth Proportional to 31,510.42, 43,484.38 and 17,363.14

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Solution

The fourth proportional to 31,510.42, 43,484.38 and 17,363.14 is: 23,961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,510.42 : 43,484.38 = 17,363.14 : x
  2. Step 2: Convert to fraction form
    31,510.42/43,484.38 = 17,363.14/x
  3. Step 3: Cross multiply
    31,510.42x = 43,484.38 × 17,363.14
  4. Step 4: Simplify right side
    31,510.42x = 755,025,377.75
  5. Step 5: Solve for x
    x = 755,025,377.75/31,510.42
  6. Step 6: Final answer
    x = 23,961.13

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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.