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Finding the Fourth Proportional to 56,076.17, 77,376.24 and 33,414.60

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Solution

The fourth proportional to 56,076.17, 77,376.24 and 33,414.60 is: 46,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,076.17 : 77,376.24 = 33,414.60 : x
  2. Step 2: Convert to fraction form
    56,076.17/77,376.24 = 33,414.60/x
  3. Step 3: Cross multiply
    56,076.17x = 77,376.24 × 33,414.60
  4. Step 4: Simplify right side
    56,076.17x = 2,585,496,109.10
  5. Step 5: Solve for x
    x = 2,585,496,109.10/56,076.17
  6. Step 6: Final answer
    x = 46,106.86

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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.