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Finding the Fourth Proportional to 31,458.40, 47,189.76 and 8,085.04

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Solution

The fourth proportional to 31,458.40, 47,189.76 and 8,085.04 is: 12,128.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,458.40 : 47,189.76 = 8,085.04 : x
  2. Step 2: Convert to fraction form
    31,458.40/47,189.76 = 8,085.04/x
  3. Step 3: Cross multiply
    31,458.40x = 47,189.76 × 8,085.04
  4. Step 4: Simplify right side
    31,458.40x = 381,531,097.19
  5. Step 5: Solve for x
    x = 381,531,097.19/31,458.40
  6. Step 6: Final answer
    x = 12,128.12

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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.