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Finding the Fourth Proportional to 65,921.49, 98,881.41 and 16,002

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Solution

The fourth proportional to 65,921.49, 98,881.41 and 16,002 is: 24,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,921.49 : 98,881.41 = 16,002 : x
  2. Step 2: Convert to fraction form
    65,921.49/98,881.41 = 16,002/x
  3. Step 3: Cross multiply
    65,921.49x = 98,881.41 × 16,002
  4. Step 4: Simplify right side
    65,921.49x = 1,582,300,322.82
  5. Step 5: Solve for x
    x = 1,582,300,322.82/65,921.49
  6. Step 6: Final answer
    x = 24,002.80

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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.