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Finding the Fourth Proportional to 75,260.82, 112,876.86 and 37,810.49

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Solution

The fourth proportional to 75,260.82, 112,876.86 and 37,810.49 is: 56,708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,260.82 : 112,876.86 = 37,810.49 : x
  2. Step 2: Convert to fraction form
    75,260.82/112,876.86 = 37,810.49/x
  3. Step 3: Cross multiply
    75,260.82x = 112,876.86 × 37,810.49
  4. Step 4: Simplify right side
    75,260.82x = 4,267,929,668.45
  5. Step 5: Solve for x
    x = 4,267,929,668.45/75,260.82
  6. Step 6: Final answer
    x = 56,708.52

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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.