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Finding the Fourth Proportional to 75,911.28, 104,757.72 and 42,378.48

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Solution

The fourth proportional to 75,911.28, 104,757.72 and 42,378.48 is: 58,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,911.28 : 104,757.72 = 42,378.48 : x
  2. Step 2: Convert to fraction form
    75,911.28/104,757.72 = 42,378.48/x
  3. Step 3: Cross multiply
    75,911.28x = 104,757.72 × 42,378.48
  4. Step 4: Simplify right side
    75,911.28x = 4,439,472,941.87
  5. Step 5: Solve for x
    x = 4,439,472,941.87/75,911.28
  6. Step 6: Final answer
    x = 58,482.39

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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.