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Finding the Fourth Proportional to 50,526, 69,724.94 and 27,867.11

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Solution

The fourth proportional to 50,526, 69,724.94 and 27,867.11 is: 38,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,526 : 69,724.94 = 27,867.11 : x
  2. Step 2: Convert to fraction form
    50,526/69,724.94 = 27,867.11/x
  3. Step 3: Cross multiply
    50,526x = 69,724.94 × 27,867.11
  4. Step 4: Simplify right side
    50,526x = 1,943,032,084.76
  5. Step 5: Solve for x
    x = 1,943,032,084.76/50,526
  6. Step 6: Final answer
    x = 38,456.08

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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.