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Finding the Fourth Proportional to 82,856.96, 124,237.44 and 56,593.44

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Solution

The fourth proportional to 82,856.96, 124,237.44 and 56,593.44 is: 84,857.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,856.96 : 124,237.44 = 56,593.44 : x
  2. Step 2: Convert to fraction form
    82,856.96/124,237.44 = 56,593.44/x
  3. Step 3: Cross multiply
    82,856.96x = 124,237.44 × 56,593.44
  4. Step 4: Simplify right side
    82,856.96x = 7,031,024,106.39
  5. Step 5: Solve for x
    x = 7,031,024,106.39/82,856.96
  6. Step 6: Final answer
    x = 84,857.37

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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.