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Finding the Fourth Proportional to 64,778.49, 89,392.85 and 36,098.01

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Solution

The fourth proportional to 64,778.49, 89,392.85 and 36,098.01 is: 49,814.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,778.49 : 89,392.85 = 36,098.01 : x
  2. Step 2: Convert to fraction form
    64,778.49/89,392.85 = 36,098.01/x
  3. Step 3: Cross multiply
    64,778.49x = 89,392.85 × 36,098.01
  4. Step 4: Simplify right side
    64,778.49x = 3,226,904,151.16
  5. Step 5: Solve for x
    x = 3,226,904,151.16/64,778.49
  6. Step 6: Final answer
    x = 49,814.44

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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.