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Finding the Fourth Proportional to 64,494.36, 89,002.26 and 36,204.84

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Solution

The fourth proportional to 64,494.36, 89,002.26 and 36,204.84 is: 49,962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,494.36 : 89,002.26 = 36,204.84 : x
  2. Step 2: Convert to fraction form
    64,494.36/89,002.26 = 36,204.84/x
  3. Step 3: Cross multiply
    64,494.36x = 89,002.26 × 36,204.84
  4. Step 4: Simplify right side
    64,494.36x = 3,222,312,582.94
  5. Step 5: Solve for x
    x = 3,222,312,582.94/64,494.36
  6. Step 6: Final answer
    x = 49,962.70

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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.