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Finding the Fourth Proportional to 75,120.86, 112,517.52 and 37,615.52

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Solution

The fourth proportional to 75,120.86, 112,517.52 and 37,615.52 is: 56,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,120.86 : 112,517.52 = 37,615.52 : x
  2. Step 2: Convert to fraction form
    75,120.86/112,517.52 = 37,615.52/x
  3. Step 3: Cross multiply
    75,120.86x = 112,517.52 × 37,615.52
  4. Step 4: Simplify right side
    75,120.86x = 4,232,405,023.91
  5. Step 5: Solve for x
    x = 4,232,405,023.91/75,120.86
  6. Step 6: Final answer
    x = 56,341.27

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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.