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Finding the Fourth Proportional to 71,783.82, 99,063.81 and 41,569.20

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Solution

The fourth proportional to 71,783.82, 99,063.81 and 41,569.20 is: 57,366.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,783.82 : 99,063.81 = 41,569.20 : x
  2. Step 2: Convert to fraction form
    71,783.82/99,063.81 = 41,569.20/x
  3. Step 3: Cross multiply
    71,783.82x = 99,063.81 × 41,569.20
  4. Step 4: Simplify right side
    71,783.82x = 4,118,003,330.65
  5. Step 5: Solve for x
    x = 4,118,003,330.65/71,783.82
  6. Step 6: Final answer
    x = 57,366.73

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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.