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Finding the Fourth Proportional to 65,185.56, 97,612.94 and 54,627.82

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Solution

The fourth proportional to 65,185.56, 97,612.94 and 54,627.82 is: 81,803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,185.56 : 97,612.94 = 54,627.82 : x
  2. Step 2: Convert to fraction form
    65,185.56/97,612.94 = 54,627.82/x
  3. Step 3: Cross multiply
    65,185.56x = 97,612.94 × 54,627.82
  4. Step 4: Simplify right side
    65,185.56x = 5,332,382,115.99
  5. Step 5: Solve for x
    x = 5,332,382,115.99/65,185.56
  6. Step 6: Final answer
    x = 81,803.12

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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.