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Finding the Fourth Proportional to 57,658.76, 86,461.26 and 29,949.32

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Solution

The fourth proportional to 57,658.76, 86,461.26 and 29,949.32 is: 44,910.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,658.76 : 86,461.26 = 29,949.32 : x
  2. Step 2: Convert to fraction form
    57,658.76/86,461.26 = 29,949.32/x
  3. Step 3: Cross multiply
    57,658.76x = 86,461.26 × 29,949.32
  4. Step 4: Simplify right side
    57,658.76x = 2,589,455,943.34
  5. Step 5: Solve for x
    x = 2,589,455,943.34/57,658.76
  6. Step 6: Final answer
    x = 44,910.02

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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.