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Finding the Fourth Proportional to 86,566.32, 119,463.66 and 48,843

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Solution

The fourth proportional to 86,566.32, 119,463.66 and 48,843 is: 67,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,566.32 : 119,463.66 = 48,843 : x
  2. Step 2: Convert to fraction form
    86,566.32/119,463.66 = 48,843/x
  3. Step 3: Cross multiply
    86,566.32x = 119,463.66 × 48,843
  4. Step 4: Simplify right side
    86,566.32x = 5,834,963,545.38
  5. Step 5: Solve for x
    x = 5,834,963,545.38/86,566.32
  6. Step 6: Final answer
    x = 67,404.55

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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.