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Finding the Fourth Proportional to 65,921.50, 98,881.40 and 16,002

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Solution

The fourth proportional to 65,921.50, 98,881.40 and 16,002 is: 24,002.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,921.50 : 98,881.40 = 16,002 : x
  2. Step 2: Convert to fraction form
    65,921.50/98,881.40 = 16,002/x
  3. Step 3: Cross multiply
    65,921.50x = 98,881.40 × 16,002
  4. Step 4: Simplify right side
    65,921.50x = 1,582,300,162.80
  5. Step 5: Solve for x
    x = 1,582,300,162.80/65,921.50
  6. Step 6: Final answer
    x = 24,002.79

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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.