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Finding the Fourth Proportional to 65,195.33, 89,966.44 and 40,039.97

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Solution

The fourth proportional to 65,195.33, 89,966.44 and 40,039.97 is: 55,253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,195.33 : 89,966.44 = 40,039.97 : x
  2. Step 2: Convert to fraction form
    65,195.33/89,966.44 = 40,039.97/x
  3. Step 3: Cross multiply
    65,195.33x = 89,966.44 × 40,039.97
  4. Step 4: Simplify right side
    65,195.33x = 3,602,253,558.61
  5. Step 5: Solve for x
    x = 3,602,253,558.61/65,195.33
  6. Step 6: Final answer
    x = 55,253.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.