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Finding the Fourth Proportional to 65,275.80, 97,822.26 and 27,785.22

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Solution

The fourth proportional to 65,275.80, 97,822.26 and 27,785.22 is: 41,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,275.80 : 97,822.26 = 27,785.22 : x
  2. Step 2: Convert to fraction form
    65,275.80/97,822.26 = 27,785.22/x
  3. Step 3: Cross multiply
    65,275.80x = 97,822.26 × 27,785.22
  4. Step 4: Simplify right side
    65,275.80x = 2,718,013,015.00
  5. Step 5: Solve for x
    x = 2,718,013,015.00/65,275.80
  6. Step 6: Final answer
    x = 41,638.91

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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.