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Finding the Fourth Proportional to 65,290.92, 97,844.76 and 27,800.28

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Solution

The fourth proportional to 65,290.92, 97,844.76 and 27,800.28 is: 41,661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,290.92 : 97,844.76 = 27,800.28 : x
  2. Step 2: Convert to fraction form
    65,290.92/97,844.76 = 27,800.28/x
  3. Step 3: Cross multiply
    65,290.92x = 97,844.76 × 27,800.28
  4. Step 4: Simplify right side
    65,290.92x = 2,720,111,724.53
  5. Step 5: Solve for x
    x = 2,720,111,724.53/65,290.92
  6. Step 6: Final answer
    x = 41,661.41

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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.