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Finding the Fourth Proportional to 50,482.56, 69,664.98 and 27,823.64

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Solution

The fourth proportional to 50,482.56, 69,664.98 and 27,823.64 is: 38,396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,482.56 : 69,664.98 = 27,823.64 : x
  2. Step 2: Convert to fraction form
    50,482.56/69,664.98 = 27,823.64/x
  3. Step 3: Cross multiply
    50,482.56x = 69,664.98 × 27,823.64
  4. Step 4: Simplify right side
    50,482.56x = 1,938,333,324.13
  5. Step 5: Solve for x
    x = 1,938,333,324.13/50,482.56
  6. Step 6: Final answer
    x = 38,396.10

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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.