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Finding the Fourth Proportional to 31,785.76, 47,694 and 13,079.60

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Solution

The fourth proportional to 31,785.76, 47,694 and 13,079.60 is: 19,625.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785.76 : 47,694 = 13,079.60 : x
  2. Step 2: Convert to fraction form
    31,785.76/47,694 = 13,079.60/x
  3. Step 3: Cross multiply
    31,785.76x = 47,694 × 13,079.60
  4. Step 4: Simplify right side
    31,785.76x = 623,818,442.40
  5. Step 5: Solve for x
    x = 623,818,442.40/31,785.76
  6. Step 6: Final answer
    x = 19,625.72

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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.