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Finding the Fourth Proportional to 64,732.14, 89,338.14 and 36,443.16

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Solution

The fourth proportional to 64,732.14, 89,338.14 and 36,443.16 is: 50,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,732.14 : 89,338.14 = 36,443.16 : x
  2. Step 2: Convert to fraction form
    64,732.14/89,338.14 = 36,443.16/x
  3. Step 3: Cross multiply
    64,732.14x = 89,338.14 × 36,443.16
  4. Step 4: Simplify right side
    64,732.14x = 3,255,764,130.12
  5. Step 5: Solve for x
    x = 3,255,764,130.12/64,732.14
  6. Step 6: Final answer
    x = 50,295.94

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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.