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Finding the Fourth Proportional to 52,884.72, 79,397.46 and 30,714

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Solution

The fourth proportional to 52,884.72, 79,397.46 and 30,714 is: 46,111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,884.72 : 79,397.46 = 30,714 : x
  2. Step 2: Convert to fraction form
    52,884.72/79,397.46 = 30,714/x
  3. Step 3: Cross multiply
    52,884.72x = 79,397.46 × 30,714
  4. Step 4: Simplify right side
    52,884.72x = 2,438,613,586.44
  5. Step 5: Solve for x
    x = 2,438,613,586.44/52,884.72
  6. Step 6: Final answer
    x = 46,111.87

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