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Finding the Fourth Proportional to 75,758.66, 104,547.68 and 41,768.47

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Solution

The fourth proportional to 75,758.66, 104,547.68 and 41,768.47 is: 57,640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,758.66 : 104,547.68 = 41,768.47 : x
  2. Step 2: Convert to fraction form
    75,758.66/104,547.68 = 41,768.47/x
  3. Step 3: Cross multiply
    75,758.66x = 104,547.68 × 41,768.47
  4. Step 4: Simplify right side
    75,758.66x = 4,366,796,112.91
  5. Step 5: Solve for x
    x = 4,366,796,112.91/75,758.66
  6. Step 6: Final answer
    x = 57,640.88

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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.