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Finding the Fourth Proportional to 66,564.52, 99,797.46 and 31,463.16

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Solution

The fourth proportional to 66,564.52, 99,797.46 and 31,463.16 is: 47,171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,564.52 : 99,797.46 = 31,463.16 : x
  2. Step 2: Convert to fraction form
    66,564.52/99,797.46 = 31,463.16/x
  3. Step 3: Cross multiply
    66,564.52x = 99,797.46 × 31,463.16
  4. Step 4: Simplify right side
    66,564.52x = 3,139,943,451.57
  5. Step 5: Solve for x
    x = 3,139,943,451.57/66,564.52
  6. Step 6: Final answer
    x = 47,171.43

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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.