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Finding the Fourth Proportional to 57,856.98, 86,865.76 and 29,797.06

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Solution

The fourth proportional to 57,856.98, 86,865.76 and 29,797.06 is: 44,736.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,856.98 : 86,865.76 = 29,797.06 : x
  2. Step 2: Convert to fraction form
    57,856.98/86,865.76 = 29,797.06/x
  3. Step 3: Cross multiply
    57,856.98x = 86,865.76 × 29,797.06
  4. Step 4: Simplify right side
    57,856.98x = 2,588,344,262.67
  5. Step 5: Solve for x
    x = 2,588,344,262.67/57,856.98
  6. Step 6: Final answer
    x = 44,736.94

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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.