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Finding the Fourth Proportional to 77,207, 106,545.66 and 41,879

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Solution

The fourth proportional to 77,207, 106,545.66 and 41,879 is: 57,793.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,207 : 106,545.66 = 41,879 : x
  2. Step 2: Convert to fraction form
    77,207/106,545.66 = 41,879/x
  3. Step 3: Cross multiply
    77,207x = 106,545.66 × 41,879
  4. Step 4: Simplify right side
    77,207x = 4,462,025,695.14
  5. Step 5: Solve for x
    x = 4,462,025,695.14/77,207
  6. Step 6: Final answer
    x = 57,793.02

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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.