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Finding the Fourth Proportional to 64,321.16, 88,754.82 and 36,032

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Solution

The fourth proportional to 64,321.16, 88,754.82 and 36,032 is: 49,719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,321.16 : 88,754.82 = 36,032 : x
  2. Step 2: Convert to fraction form
    64,321.16/88,754.82 = 36,032/x
  3. Step 3: Cross multiply
    64,321.16x = 88,754.82 × 36,032
  4. Step 4: Simplify right side
    64,321.16x = 3,198,013,674.24
  5. Step 5: Solve for x
    x = 3,198,013,674.24/64,321.16
  6. Step 6: Final answer
    x = 49,719.47

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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.