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Finding the Fourth Proportional to 64,507.73, 89,020.05 and 36,213.22

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Solution

The fourth proportional to 64,507.73, 89,020.05 and 36,213.22 is: 49,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,507.73 : 89,020.05 = 36,213.22 : x
  2. Step 2: Convert to fraction form
    64,507.73/89,020.05 = 36,213.22/x
  3. Step 3: Cross multiply
    64,507.73x = 89,020.05 × 36,213.22
  4. Step 4: Simplify right side
    64,507.73x = 3,223,702,209.96
  5. Step 5: Solve for x
    x = 3,223,702,209.96/64,507.73
  6. Step 6: Final answer
    x = 49,973.89

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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.