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Finding the Fourth Proportional to 57,196.98, 78,934.74 and 31,706.04

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Solution

The fourth proportional to 57,196.98, 78,934.74 and 31,706.04 is: 43,755.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,196.98 : 78,934.74 = 31,706.04 : x
  2. Step 2: Convert to fraction form
    57,196.98/78,934.74 = 31,706.04/x
  3. Step 3: Cross multiply
    57,196.98x = 78,934.74 × 31,706.04
  4. Step 4: Simplify right side
    57,196.98x = 2,502,708,023.83
  5. Step 5: Solve for x
    x = 2,502,708,023.83/57,196.98
  6. Step 6: Final answer
    x = 43,755.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.