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Finding the Fourth Proportional to 47,442.48, 65,470.08 and 25,932

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Solution

The fourth proportional to 47,442.48, 65,470.08 and 25,932 is: 35,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,442.48 : 65,470.08 = 25,932 : x
  2. Step 2: Convert to fraction form
    47,442.48/65,470.08 = 25,932/x
  3. Step 3: Cross multiply
    47,442.48x = 65,470.08 × 25,932
  4. Step 4: Simplify right side
    47,442.48x = 1,697,770,114.56
  5. Step 5: Solve for x
    x = 1,697,770,114.56/47,442.48
  6. Step 6: Final answer
    x = 35,785.86

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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.