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Finding the Fourth Proportional to 51,701.76, 77,575.68 and 27,072

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Solution

The fourth proportional to 51,701.76, 77,575.68 and 27,072 is: 40,620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,701.76 : 77,575.68 = 27,072 : x
  2. Step 2: Convert to fraction form
    51,701.76/77,575.68 = 27,072/x
  3. Step 3: Cross multiply
    51,701.76x = 77,575.68 × 27,072
  4. Step 4: Simplify right side
    51,701.76x = 2,100,128,808.96
  5. Step 5: Solve for x
    x = 2,100,128,808.96/51,701.76
  6. Step 6: Final answer
    x = 40,620.06

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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.