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Finding the Fourth Proportional to 31,154.94, 46,732.68 and 7,781.40

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Solution

The fourth proportional to 31,154.94, 46,732.68 and 7,781.40 is: 11,672.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154.94 : 46,732.68 = 7,781.40 : x
  2. Step 2: Convert to fraction form
    31,154.94/46,732.68 = 7,781.40/x
  3. Step 3: Cross multiply
    31,154.94x = 46,732.68 × 7,781.40
  4. Step 4: Simplify right side
    31,154.94x = 363,645,676.15
  5. Step 5: Solve for x
    x = 363,645,676.15/31,154.94
  6. Step 6: Final answer
    x = 11,672.17

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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.