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Finding the Fourth Proportional to 31,292.61, 46,939.01 and 7,919.04

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Solution

The fourth proportional to 31,292.61, 46,939.01 and 7,919.04 is: 11,878.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,292.61 : 46,939.01 = 7,919.04 : x
  2. Step 2: Convert to fraction form
    31,292.61/46,939.01 = 7,919.04/x
  3. Step 3: Cross multiply
    31,292.61x = 46,939.01 × 7,919.04
  4. Step 4: Simplify right side
    31,292.61x = 371,711,897.75
  5. Step 5: Solve for x
    x = 371,711,897.75/31,292.61
  6. Step 6: Final answer
    x = 11,878.58

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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.