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Finding the Fourth Proportional to 31,938.16, 44,076 and 17,791

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Solution

The fourth proportional to 31,938.16, 44,076 and 17,791 is: 24,552.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,938.16 : 44,076 = 17,791 : x
  2. Step 2: Convert to fraction form
    31,938.16/44,076 = 17,791/x
  3. Step 3: Cross multiply
    31,938.16x = 44,076 × 17,791
  4. Step 4: Simplify right side
    31,938.16x = 784,156,116
  5. Step 5: Solve for x
    x = 784,156,116/31,938.16
  6. Step 6: Final answer
    x = 24,552.33

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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.