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Finding the Fourth Proportional to 75,340.48, 103,966.32 and 41,805.76

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Solution

The fourth proportional to 75,340.48, 103,966.32 and 41,805.76 is: 57,689.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,340.48 : 103,966.32 = 41,805.76 : x
  2. Step 2: Convert to fraction form
    75,340.48/103,966.32 = 41,805.76/x
  3. Step 3: Cross multiply
    75,340.48x = 103,966.32 × 41,805.76
  4. Step 4: Simplify right side
    75,340.48x = 4,346,391,022.00
  5. Step 5: Solve for x
    x = 4,346,391,022.00/75,340.48
  6. Step 6: Final answer
    x = 57,689.98

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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.