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Finding the Fourth Proportional to 75,523.96, 104,225.72 and 41,535

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Solution

The fourth proportional to 75,523.96, 104,225.72 and 41,535 is: 57,319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,523.96 : 104,225.72 = 41,535 : x
  2. Step 2: Convert to fraction form
    75,523.96/104,225.72 = 41,535/x
  3. Step 3: Cross multiply
    75,523.96x = 104,225.72 × 41,535
  4. Step 4: Simplify right side
    75,523.96x = 4,329,015,280.20
  5. Step 5: Solve for x
    x = 4,329,015,280.20/75,523.96
  6. Step 6: Final answer
    x = 57,319.76

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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.