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Finding the Fourth Proportional to 31,572.69, 47,357.97 and 9,386.18

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Solution

The fourth proportional to 31,572.69, 47,357.97 and 9,386.18 is: 14,078.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,572.69 : 47,357.97 = 9,386.18 : x
  2. Step 2: Convert to fraction form
    31,572.69/47,357.97 = 9,386.18/x
  3. Step 3: Cross multiply
    31,572.69x = 47,357.97 × 9,386.18
  4. Step 4: Simplify right side
    31,572.69x = 444,510,336.46
  5. Step 5: Solve for x
    x = 444,510,336.46/31,572.69
  6. Step 6: Final answer
    x = 14,078.95

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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.