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Finding the Fourth Proportional to 57,230.12, 85,776.06 and 24,329

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Solution

The fourth proportional to 57,230.12, 85,776.06 and 24,329 is: 36,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,230.12 : 85,776.06 = 24,329 : x
  2. Step 2: Convert to fraction form
    57,230.12/85,776.06 = 24,329/x
  3. Step 3: Cross multiply
    57,230.12x = 85,776.06 × 24,329
  4. Step 4: Simplify right side
    57,230.12x = 2,086,845,763.74
  5. Step 5: Solve for x
    x = 2,086,845,763.74/57,230.12
  6. Step 6: Final answer
    x = 36,464.12

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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.