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Finding the Fourth Proportional to 60,632.32, 90,947.84 and 23,696

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Solution

The fourth proportional to 60,632.32, 90,947.84 and 23,696 is: 35,543.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,632.32 : 90,947.84 = 23,696 : x
  2. Step 2: Convert to fraction form
    60,632.32/90,947.84 = 23,696/x
  3. Step 3: Cross multiply
    60,632.32x = 90,947.84 × 23,696
  4. Step 4: Simplify right side
    60,632.32x = 2,155,100,016.64
  5. Step 5: Solve for x
    x = 2,155,100,016.64/60,632.32
  6. Step 6: Final answer
    x = 35,543.75

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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.