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Finding the Fourth Proportional to 65,241.74, 90,032.13 and 38,016.14

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Solution

The fourth proportional to 65,241.74, 90,032.13 and 38,016.14 is: 52,461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,241.74 : 90,032.13 = 38,016.14 : x
  2. Step 2: Convert to fraction form
    65,241.74/90,032.13 = 38,016.14/x
  3. Step 3: Cross multiply
    65,241.74x = 90,032.13 × 38,016.14
  4. Step 4: Simplify right side
    65,241.74x = 3,422,674,283.66
  5. Step 5: Solve for x
    x = 3,422,674,283.66/65,241.74
  6. Step 6: Final answer
    x = 52,461.42

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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.