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Finding the Fourth Proportional to 51,983.61, 71,735.76 and 29,322.27

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Solution

The fourth proportional to 51,983.61, 71,735.76 and 29,322.27 is: 40,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,983.61 : 71,735.76 = 29,322.27 : x
  2. Step 2: Convert to fraction form
    51,983.61/71,735.76 = 29,322.27/x
  3. Step 3: Cross multiply
    51,983.61x = 71,735.76 × 29,322.27
  4. Step 4: Simplify right side
    51,983.61x = 2,103,455,323.38
  5. Step 5: Solve for x
    x = 2,103,455,323.38/51,983.61
  6. Step 6: Final answer
    x = 40,463.82

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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.