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Finding the Fourth Proportional to 65,182.32, 89,951.59 and 35,374.32

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Solution

The fourth proportional to 65,182.32, 89,951.59 and 35,374.32 is: 48,816.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,182.32 : 89,951.59 = 35,374.32 : x
  2. Step 2: Convert to fraction form
    65,182.32/89,951.59 = 35,374.32/x
  3. Step 3: Cross multiply
    65,182.32x = 89,951.59 × 35,374.32
  4. Step 4: Simplify right side
    65,182.32x = 3,181,976,329.17
  5. Step 5: Solve for x
    x = 3,181,976,329.17/65,182.32
  6. Step 6: Final answer
    x = 48,816.56

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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.