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Finding the Fourth Proportional to 75,789, 104,587.40 and 41,800.66

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Solution

The fourth proportional to 75,789, 104,587.40 and 41,800.66 is: 57,684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,789 : 104,587.40 = 41,800.66 : x
  2. Step 2: Convert to fraction form
    75,789/104,587.40 = 41,800.66/x
  3. Step 3: Cross multiply
    75,789x = 104,587.40 × 41,800.66
  4. Step 4: Simplify right side
    75,789x = 4,371,822,190.72
  5. Step 5: Solve for x
    x = 4,371,822,190.72/75,789
  6. Step 6: Final answer
    x = 57,684.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.