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Finding the Fourth Proportional to 31,290.60, 46,920.54 and 11,568.36

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Solution

The fourth proportional to 31,290.60, 46,920.54 and 11,568.36 is: 17,346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,290.60 : 46,920.54 = 11,568.36 : x
  2. Step 2: Convert to fraction form
    31,290.60/46,920.54 = 11,568.36/x
  3. Step 3: Cross multiply
    31,290.60x = 46,920.54 × 11,568.36
  4. Step 4: Simplify right side
    31,290.60x = 542,793,698.11
  5. Step 5: Solve for x
    x = 542,793,698.11/31,290.60
  6. Step 6: Final answer
    x = 17,346.86

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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.