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Finding the Fourth Proportional to 50,177.44, 69,242.16 and 27,820

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Solution

The fourth proportional to 50,177.44, 69,242.16 and 27,820 is: 38,390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,177.44 : 69,242.16 = 27,820 : x
  2. Step 2: Convert to fraction form
    50,177.44/69,242.16 = 27,820/x
  3. Step 3: Cross multiply
    50,177.44x = 69,242.16 × 27,820
  4. Step 4: Simplify right side
    50,177.44x = 1,926,316,891.20
  5. Step 5: Solve for x
    x = 1,926,316,891.20/50,177.44
  6. Step 6: Final answer
    x = 38,390.10

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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.