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Finding the Fourth Proportional to 75,952.50, 104,814.02 and 41,963.32

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Solution

The fourth proportional to 75,952.50, 104,814.02 and 41,963.32 is: 57,909.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,952.50 : 104,814.02 = 41,963.32 : x
  2. Step 2: Convert to fraction form
    75,952.50/104,814.02 = 41,963.32/x
  3. Step 3: Cross multiply
    75,952.50x = 104,814.02 × 41,963.32
  4. Step 4: Simplify right side
    75,952.50x = 4,398,344,261.75
  5. Step 5: Solve for x
    x = 4,398,344,261.75/75,952.50
  6. Step 6: Final answer
    x = 57,909.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.