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Finding the Fourth Proportional to 71,039.98, 106,565.73 and 23,653.36

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Solution

The fourth proportional to 71,039.98, 106,565.73 and 23,653.36 is: 35,481.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,039.98 : 106,565.73 = 23,653.36 : x
  2. Step 2: Convert to fraction form
    71,039.98/106,565.73 = 23,653.36/x
  3. Step 3: Cross multiply
    71,039.98x = 106,565.73 × 23,653.36
  4. Step 4: Simplify right side
    71,039.98x = 2,520,637,575.35
  5. Step 5: Solve for x
    x = 2,520,637,575.35/71,039.98
  6. Step 6: Final answer
    x = 35,481.96

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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.