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Finding the Fourth Proportional to 31,205.32, 43,078.98 and 21,186.76

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Solution

The fourth proportional to 31,205.32, 43,078.98 and 21,186.76 is: 29,248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205.32 : 43,078.98 = 21,186.76 : x
  2. Step 2: Convert to fraction form
    31,205.32/43,078.98 = 21,186.76/x
  3. Step 3: Cross multiply
    31,205.32x = 43,078.98 × 21,186.76
  4. Step 4: Simplify right side
    31,205.32x = 912,704,010.30
  5. Step 5: Solve for x
    x = 912,704,010.30/31,205.32
  6. Step 6: Final answer
    x = 29,248.35

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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.