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Finding the Fourth Proportional to 56,469.34, 77,922.57 and 30,974.59

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Solution

The fourth proportional to 56,469.34, 77,922.57 and 30,974.59 is: 42,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,469.34 : 77,922.57 = 30,974.59 : x
  2. Step 2: Convert to fraction form
    56,469.34/77,922.57 = 30,974.59/x
  3. Step 3: Cross multiply
    56,469.34x = 77,922.57 × 30,974.59
  4. Step 4: Simplify right side
    56,469.34x = 2,413,619,657.50
  5. Step 5: Solve for x
    x = 2,413,619,657.50/56,469.34
  6. Step 6: Final answer
    x = 42,742.13

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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.