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Finding the Fourth Proportional to 75,162.98, 112,785.96 and 41,901.78

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Solution

The fourth proportional to 75,162.98, 112,785.96 and 41,901.78 is: 62,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,162.98 : 112,785.96 = 41,901.78 : x
  2. Step 2: Convert to fraction form
    75,162.98/112,785.96 = 41,901.78/x
  3. Step 3: Cross multiply
    75,162.98x = 112,785.96 × 41,901.78
  4. Step 4: Simplify right side
    75,162.98x = 4,725,932,483.01
  5. Step 5: Solve for x
    x = 4,725,932,483.01/75,162.98
  6. Step 6: Final answer
    x = 62,875.80

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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.