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Finding the Fourth Proportional to 71,050.82, 106,553.16 and 23,653.19

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Solution

The fourth proportional to 71,050.82, 106,553.16 and 23,653.19 is: 35,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,050.82 : 106,553.16 = 23,653.19 : x
  2. Step 2: Convert to fraction form
    71,050.82/106,553.16 = 23,653.19/x
  3. Step 3: Cross multiply
    71,050.82x = 106,553.16 × 23,653.19
  4. Step 4: Simplify right side
    71,050.82x = 2,520,321,605.81
  5. Step 5: Solve for x
    x = 2,520,321,605.81/71,050.82
  6. Step 6: Final answer
    x = 35,472.10

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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.