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Finding the Fourth Proportional to 65,204.52, 97,858.62 and 55,952.70

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Solution

The fourth proportional to 65,204.52, 97,858.62 and 55,952.70 is: 83,973.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,204.52 : 97,858.62 = 55,952.70 : x
  2. Step 2: Convert to fraction form
    65,204.52/97,858.62 = 55,952.70/x
  3. Step 3: Cross multiply
    65,204.52x = 97,858.62 × 55,952.70
  4. Step 4: Simplify right side
    65,204.52x = 5,475,454,007.27
  5. Step 5: Solve for x
    x = 5,475,454,007.27/65,204.52
  6. Step 6: Final answer
    x = 83,973.53

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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.