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Finding the Fourth Proportional to 75,298.65, 103,894.69 and 45,072.48

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Solution

The fourth proportional to 75,298.65, 103,894.69 and 45,072.48 is: 62,189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,298.65 : 103,894.69 = 45,072.48 : x
  2. Step 2: Convert to fraction form
    75,298.65/103,894.69 = 45,072.48/x
  3. Step 3: Cross multiply
    75,298.65x = 103,894.69 × 45,072.48
  4. Step 4: Simplify right side
    75,298.65x = 4,682,790,592.30
  5. Step 5: Solve for x
    x = 4,682,790,592.30/75,298.65
  6. Step 6: Final answer
    x = 62,189.57

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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.