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Finding the Fourth Proportional to 50,113, 69,156.08 and 27,757

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Solution

The fourth proportional to 50,113, 69,156.08 and 27,757 is: 38,304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,113 : 69,156.08 = 27,757 : x
  2. Step 2: Convert to fraction form
    50,113/69,156.08 = 27,757/x
  3. Step 3: Cross multiply
    50,113x = 69,156.08 × 27,757
  4. Step 4: Simplify right side
    50,113x = 1,919,565,312.56
  5. Step 5: Solve for x
    x = 1,919,565,312.56/50,113
  6. Step 6: Final answer
    x = 38,304.74

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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.