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Finding the Fourth Proportional to 75,879.56, 104,723.70 and 42,352.52

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Solution

The fourth proportional to 75,879.56, 104,723.70 and 42,352.52 is: 58,452.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,879.56 : 104,723.70 = 42,352.52 : x
  2. Step 2: Convert to fraction form
    75,879.56/104,723.70 = 42,352.52/x
  3. Step 3: Cross multiply
    75,879.56x = 104,723.70 × 42,352.52
  4. Step 4: Simplify right side
    75,879.56x = 4,435,312,598.72
  5. Step 5: Solve for x
    x = 4,435,312,598.72/75,879.56
  6. Step 6: Final answer
    x = 58,452.01

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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.