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Finding the Fourth Proportional to 75,368.64, 104,003.52 and 41,832

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Solution

The fourth proportional to 75,368.64, 104,003.52 and 41,832 is: 57,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,368.64 : 104,003.52 = 41,832 : x
  2. Step 2: Convert to fraction form
    75,368.64/104,003.52 = 41,832/x
  3. Step 3: Cross multiply
    75,368.64x = 104,003.52 × 41,832
  4. Step 4: Simplify right side
    75,368.64x = 4,350,675,248.64
  5. Step 5: Solve for x
    x = 4,350,675,248.64/75,368.64
  6. Step 6: Final answer
    x = 57,725.27

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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.