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Finding the Fourth Proportional to 31,386.58, 47,081.50 and 8,013.22

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Solution

The fourth proportional to 31,386.58, 47,081.50 and 8,013.22 is: 12,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,386.58 : 47,081.50 = 8,013.22 : x
  2. Step 2: Convert to fraction form
    31,386.58/47,081.50 = 8,013.22/x
  3. Step 3: Cross multiply
    31,386.58x = 47,081.50 × 8,013.22
  4. Step 4: Simplify right side
    31,386.58x = 377,274,417.43
  5. Step 5: Solve for x
    x = 377,274,417.43/31,386.58
  6. Step 6: Final answer
    x = 12,020.25

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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.