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Finding the Fourth Proportional to 64,822.56, 97,233.84 and 20,453.81

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Solution

The fourth proportional to 64,822.56, 97,233.84 and 20,453.81 is: 30,680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,822.56 : 97,233.84 = 20,453.81 : x
  2. Step 2: Convert to fraction form
    64,822.56/97,233.84 = 20,453.81/x
  3. Step 3: Cross multiply
    64,822.56x = 97,233.84 × 20,453.81
  4. Step 4: Simplify right side
    64,822.56x = 1,988,802,002.76
  5. Step 5: Solve for x
    x = 1,988,802,002.76/64,822.56
  6. Step 6: Final answer
    x = 30,680.71

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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.