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Finding the Fourth Proportional to 75,807.96, 113,791.86 and 42,556.20

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Solution

The fourth proportional to 75,807.96, 113,791.86 and 42,556.20 is: 63,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,807.96 : 113,791.86 = 42,556.20 : x
  2. Step 2: Convert to fraction form
    75,807.96/113,791.86 = 42,556.20/x
  3. Step 3: Cross multiply
    75,807.96x = 113,791.86 × 42,556.20
  4. Step 4: Simplify right side
    75,807.96x = 4,842,549,152.53
  5. Step 5: Solve for x
    x = 4,842,549,152.53/75,807.96
  6. Step 6: Final answer
    x = 63,879.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.