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Finding the Fourth Proportional to 56,117.20, 84,022.20 and 43,829.20

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Solution

The fourth proportional to 56,117.20, 84,022.20 and 43,829.20 is: 65,623.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,117.20 : 84,022.20 = 43,829.20 : x
  2. Step 2: Convert to fraction form
    56,117.20/84,022.20 = 43,829.20/x
  3. Step 3: Cross multiply
    56,117.20x = 84,022.20 × 43,829.20
  4. Step 4: Simplify right side
    56,117.20x = 3,682,625,808.24
  5. Step 5: Solve for x
    x = 3,682,625,808.24/56,117.20
  6. Step 6: Final answer
    x = 65,623.83

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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.