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Finding the Fourth Proportional to 49,442.56, 74,112 and 36,275.20

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Solution

The fourth proportional to 49,442.56, 74,112 and 36,275.20 is: 54,374.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,442.56 : 74,112 = 36,275.20 : x
  2. Step 2: Convert to fraction form
    49,442.56/74,112 = 36,275.20/x
  3. Step 3: Cross multiply
    49,442.56x = 74,112 × 36,275.20
  4. Step 4: Simplify right side
    49,442.56x = 2,688,427,622.40
  5. Step 5: Solve for x
    x = 2,688,427,622.40/49,442.56
  6. Step 6: Final answer
    x = 54,374.77

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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.