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Finding the Fourth Proportional to 51,057.86, 70,459.17 and 28,701.86

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Solution

The fourth proportional to 51,057.86, 70,459.17 and 28,701.86 is: 39,608.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,057.86 : 70,459.17 = 28,701.86 : x
  2. Step 2: Convert to fraction form
    51,057.86/70,459.17 = 28,701.86/x
  3. Step 3: Cross multiply
    51,057.86x = 70,459.17 × 28,701.86
  4. Step 4: Simplify right side
    51,057.86x = 2,022,309,233.06
  5. Step 5: Solve for x
    x = 2,022,309,233.06/51,057.86
  6. Step 6: Final answer
    x = 39,608.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.