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Finding the Fourth Proportional to 65,255.84, 97,883.22 and 38,785.28

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Solution

The fourth proportional to 65,255.84, 97,883.22 and 38,785.28 is: 58,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,255.84 : 97,883.22 = 38,785.28 : x
  2. Step 2: Convert to fraction form
    65,255.84/97,883.22 = 38,785.28/x
  3. Step 3: Cross multiply
    65,255.84x = 97,883.22 × 38,785.28
  4. Step 4: Simplify right side
    65,255.84x = 3,796,428,095.00
  5. Step 5: Solve for x
    x = 3,796,428,095.00/65,255.84
  6. Step 6: Final answer
    x = 58,177.60

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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.