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Finding the Fourth Proportional to 51,714.76, 77,595.18 and 27,085

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Solution

The fourth proportional to 51,714.76, 77,595.18 and 27,085 is: 40,639.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,714.76 : 77,595.18 = 27,085 : x
  2. Step 2: Convert to fraction form
    51,714.76/77,595.18 = 27,085/x
  3. Step 3: Cross multiply
    51,714.76x = 77,595.18 × 27,085
  4. Step 4: Simplify right side
    51,714.76x = 2,101,665,450.30
  5. Step 5: Solve for x
    x = 2,101,665,450.30/51,714.76
  6. Step 6: Final answer
    x = 40,639.57

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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.