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Finding the Fourth Proportional to 77,427.17, 106,895.31 and 48,771.40

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Solution

The fourth proportional to 77,427.17, 106,895.31 and 48,771.40 is: 67,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,427.17 : 106,895.31 = 48,771.40 : x
  2. Step 2: Convert to fraction form
    77,427.17/106,895.31 = 48,771.40/x
  3. Step 3: Cross multiply
    77,427.17x = 106,895.31 × 48,771.40
  4. Step 4: Simplify right side
    77,427.17x = 5,213,433,589.72
  5. Step 5: Solve for x
    x = 5,213,433,589.72/77,427.17
  6. Step 6: Final answer
    x = 67,333.38

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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.