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Finding the Fourth Proportional to 65,194.33, 89,965.06 and 40,038.97

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Solution

The fourth proportional to 65,194.33, 89,965.06 and 40,038.97 is: 55,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,194.33 : 89,965.06 = 40,038.97 : x
  2. Step 2: Convert to fraction form
    65,194.33/89,965.06 = 40,038.97/x
  3. Step 3: Cross multiply
    65,194.33x = 89,965.06 × 40,038.97
  4. Step 4: Simplify right side
    65,194.33x = 3,602,108,338.39
  5. Step 5: Solve for x
    x = 3,602,108,338.39/65,194.33
  6. Step 6: Final answer
    x = 55,251.87

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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.