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Finding the Fourth Proportional to 101,627.64, 152,350.74 and 51,679.80

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Solution

The fourth proportional to 101,627.64, 152,350.74 and 51,679.80 is: 77,473.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,627.64 : 152,350.74 = 51,679.80 : x
  2. Step 2: Convert to fraction form
    101,627.64/152,350.74 = 51,679.80/x
  3. Step 3: Cross multiply
    101,627.64x = 152,350.74 × 51,679.80
  4. Step 4: Simplify right side
    101,627.64x = 7,873,455,773.05
  5. Step 5: Solve for x
    x = 7,873,455,773.05/101,627.64
  6. Step 6: Final answer
    x = 77,473.57

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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.