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Finding the Fourth Proportional to 31,780.45, 47,671.08 and 21,917.08

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Solution

The fourth proportional to 31,780.45, 47,671.08 and 21,917.08 is: 32,875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,780.45 : 47,671.08 = 21,917.08 : x
  2. Step 2: Convert to fraction form
    31,780.45/47,671.08 = 21,917.08/x
  3. Step 3: Cross multiply
    31,780.45x = 47,671.08 × 21,917.08
  4. Step 4: Simplify right side
    31,780.45x = 1,044,810,874.05
  5. Step 5: Solve for x
    x = 1,044,810,874.05/31,780.45
  6. Step 6: Final answer
    x = 32,875.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.