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Finding the Fourth Proportional to 31,885.16, 44,001.36 and 17,738

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Solution

The fourth proportional to 31,885.16, 44,001.36 and 17,738 is: 24,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,885.16 : 44,001.36 = 17,738 : x
  2. Step 2: Convert to fraction form
    31,885.16/44,001.36 = 17,738/x
  3. Step 3: Cross multiply
    31,885.16x = 44,001.36 × 17,738
  4. Step 4: Simplify right side
    31,885.16x = 780,496,123.68
  5. Step 5: Solve for x
    x = 780,496,123.68/31,885.16
  6. Step 6: Final answer
    x = 24,478.35

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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.