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Finding the Fourth Proportional to 50,482.29, 69,666.05 and 27,822.12

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Solution

The fourth proportional to 50,482.29, 69,666.05 and 27,822.12 is: 38,394.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,482.29 : 69,666.05 = 27,822.12 : x
  2. Step 2: Convert to fraction form
    50,482.29/69,666.05 = 27,822.12/x
  3. Step 3: Cross multiply
    50,482.29x = 69,666.05 × 27,822.12
  4. Step 4: Simplify right side
    50,482.29x = 1,938,257,011.33
  5. Step 5: Solve for x
    x = 1,938,257,011.33/50,482.29
  6. Step 6: Final answer
    x = 38,394.79

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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.