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Finding the Fourth Proportional to 37,780.80, 56,671.20 and 31,099.20

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Solution

The fourth proportional to 37,780.80, 56,671.20 and 31,099.20 is: 46,648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,780.80 : 56,671.20 = 31,099.20 : x
  2. Step 2: Convert to fraction form
    37,780.80/56,671.20 = 31,099.20/x
  3. Step 3: Cross multiply
    37,780.80x = 56,671.20 × 31,099.20
  4. Step 4: Simplify right side
    37,780.80x = 1,762,428,983.04
  5. Step 5: Solve for x
    x = 1,762,428,983.04/37,780.80
  6. Step 6: Final answer
    x = 46,648.80

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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.