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Finding the Fourth Proportional to 64,524, 89,043.12 and 36,229.71

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Solution

The fourth proportional to 64,524, 89,043.12 and 36,229.71 is: 49,997.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,524 : 89,043.12 = 36,229.71 : x
  2. Step 2: Convert to fraction form
    64,524/89,043.12 = 36,229.71/x
  3. Step 3: Cross multiply
    64,524x = 89,043.12 × 36,229.71
  4. Step 4: Simplify right side
    64,524x = 3,226,006,415.10
  5. Step 5: Solve for x
    x = 3,226,006,415.10/64,524
  6. Step 6: Final answer
    x = 49,997.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.