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Finding the Fourth Proportional to 31,340.74, 47,015.50 and 9,155.74

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Solution

The fourth proportional to 31,340.74, 47,015.50 and 9,155.74 is: 13,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,340.74 : 47,015.50 = 9,155.74 : x
  2. Step 2: Convert to fraction form
    31,340.74/47,015.50 = 9,155.74/x
  3. Step 3: Cross multiply
    31,340.74x = 47,015.50 × 9,155.74
  4. Step 4: Simplify right side
    31,340.74x = 430,461,693.97
  5. Step 5: Solve for x
    x = 430,461,693.97/31,340.74
  6. Step 6: Final answer
    x = 13,734.89

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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.