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Finding the Fourth Proportional to 65,867.68, 98,802.42 and 21,494.08

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Solution

The fourth proportional to 65,867.68, 98,802.42 and 21,494.08 is: 32,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,867.68 : 98,802.42 = 21,494.08 : x
  2. Step 2: Convert to fraction form
    65,867.68/98,802.42 = 21,494.08/x
  3. Step 3: Cross multiply
    65,867.68x = 98,802.42 × 21,494.08
  4. Step 4: Simplify right side
    65,867.68x = 2,123,667,119.67
  5. Step 5: Solve for x
    x = 2,123,667,119.67/65,867.68
  6. Step 6: Final answer
    x = 32,241.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.