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Finding the Fourth Proportional to 52,975, 79,462.50 and 19,656.46

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Solution

The fourth proportional to 52,975, 79,462.50 and 19,656.46 is: 29,484.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,975 : 79,462.50 = 19,656.46 : x
  2. Step 2: Convert to fraction form
    52,975/79,462.50 = 19,656.46/x
  3. Step 3: Cross multiply
    52,975x = 79,462.50 × 19,656.46
  4. Step 4: Simplify right side
    52,975x = 1,561,951,452.75
  5. Step 5: Solve for x
    x = 1,561,951,452.75/52,975
  6. Step 6: Final answer
    x = 29,484.69

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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.