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Finding the Fourth Proportional to 75,363, 104,005.80 and 41,829

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Solution

The fourth proportional to 75,363, 104,005.80 and 41,829 is: 57,726.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,363 : 104,005.80 = 41,829 : x
  2. Step 2: Convert to fraction form
    75,363/104,005.80 = 41,829/x
  3. Step 3: Cross multiply
    75,363x = 104,005.80 × 41,829
  4. Step 4: Simplify right side
    75,363x = 4,350,458,608.20
  5. Step 5: Solve for x
    x = 4,350,458,608.20/75,363
  6. Step 6: Final answer
    x = 57,726.72

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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.