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Finding the Fourth Proportional to 51,702.76, 77,577.18 and 27,073

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Solution

The fourth proportional to 51,702.76, 77,577.18 and 27,073 is: 40,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,702.76 : 77,577.18 = 27,073 : x
  2. Step 2: Convert to fraction form
    51,702.76/77,577.18 = 27,073/x
  3. Step 3: Cross multiply
    51,702.76x = 77,577.18 × 27,073
  4. Step 4: Simplify right side
    51,702.76x = 2,100,246,994.14
  5. Step 5: Solve for x
    x = 2,100,246,994.14/51,702.76
  6. Step 6: Final answer
    x = 40,621.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.