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Finding the Fourth Proportional to 31,000, 42,780.96 and 17,752

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Solution

The fourth proportional to 31,000, 42,780.96 and 17,752 is: 24,498.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000 : 42,780.96 = 17,752 : x
  2. Step 2: Convert to fraction form
    31,000/42,780.96 = 17,752/x
  3. Step 3: Cross multiply
    31,000x = 42,780.96 × 17,752
  4. Step 4: Simplify right side
    31,000x = 759,447,601.92
  5. Step 5: Solve for x
    x = 759,447,601.92/31,000
  6. Step 6: Final answer
    x = 24,498.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.