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Finding the Fourth Proportional to 31,301.19, 46,951.88 and 9,115.11

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Solution

The fourth proportional to 31,301.19, 46,951.88 and 9,115.11 is: 13,672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,301.19 : 46,951.88 = 9,115.11 : x
  2. Step 2: Convert to fraction form
    31,301.19/46,951.88 = 9,115.11/x
  3. Step 3: Cross multiply
    31,301.19x = 46,951.88 × 9,115.11
  4. Step 4: Simplify right side
    31,301.19x = 427,971,681.40
  5. Step 5: Solve for x
    x = 427,971,681.40/31,301.19
  6. Step 6: Final answer
    x = 13,672.70

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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.