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Finding the Fourth Proportional to 50,206.74, 69,283 and 27,545.24

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Solution

The fourth proportional to 50,206.74, 69,283 and 27,545.24 is: 38,011.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,206.74 : 69,283 = 27,545.24 : x
  2. Step 2: Convert to fraction form
    50,206.74/69,283 = 27,545.24/x
  3. Step 3: Cross multiply
    50,206.74x = 69,283 × 27,545.24
  4. Step 4: Simplify right side
    50,206.74x = 1,908,416,862.92
  5. Step 5: Solve for x
    x = 1,908,416,862.92/50,206.74
  6. Step 6: Final answer
    x = 38,011.17

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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.