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Finding the Fourth Proportional to 50,114, 69,159.48 and 27,758

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Solution

The fourth proportional to 50,114, 69,159.48 and 27,758 is: 38,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,114 : 69,159.48 = 27,758 : x
  2. Step 2: Convert to fraction form
    50,114/69,159.48 = 27,758/x
  3. Step 3: Cross multiply
    50,114x = 69,159.48 × 27,758
  4. Step 4: Simplify right side
    50,114x = 1,919,728,845.84
  5. Step 5: Solve for x
    x = 1,919,728,845.84/50,114
  6. Step 6: Final answer
    x = 38,307.24

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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.