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Finding the Fourth Proportional to 31,559.76, 47,358 and 12,836.88

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Solution

The fourth proportional to 31,559.76, 47,358 and 12,836.88 is: 19,262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,559.76 : 47,358 = 12,836.88 : x
  2. Step 2: Convert to fraction form
    31,559.76/47,358 = 12,836.88/x
  3. Step 3: Cross multiply
    31,559.76x = 47,358 × 12,836.88
  4. Step 4: Simplify right side
    31,559.76x = 607,928,963.04
  5. Step 5: Solve for x
    x = 607,928,963.04/31,559.76
  6. Step 6: Final answer
    x = 19,262.79

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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.