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Finding the Fourth Proportional to 65,691.96, 90,653.40 and 40,196.40

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Solution

The fourth proportional to 65,691.96, 90,653.40 and 40,196.40 is: 55,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,691.96 : 90,653.40 = 40,196.40 : x
  2. Step 2: Convert to fraction form
    65,691.96/90,653.40 = 40,196.40/x
  3. Step 3: Cross multiply
    65,691.96x = 90,653.40 × 40,196.40
  4. Step 4: Simplify right side
    65,691.96x = 3,643,940,327.76
  5. Step 5: Solve for x
    x = 3,643,940,327.76/65,691.96
  6. Step 6: Final answer
    x = 55,470.11

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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.