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Finding the Fourth Proportional to 31,875.84, 43,983.54 and 17,728.38

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Solution

The fourth proportional to 31,875.84, 43,983.54 and 17,728.38 is: 24,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,875.84 : 43,983.54 = 17,728.38 : x
  2. Step 2: Convert to fraction form
    31,875.84/43,983.54 = 17,728.38/x
  3. Step 3: Cross multiply
    31,875.84x = 43,983.54 × 17,728.38
  4. Step 4: Simplify right side
    31,875.84x = 779,756,910.87
  5. Step 5: Solve for x
    x = 779,756,910.87/31,875.84
  6. Step 6: Final answer
    x = 24,462.32

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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.