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Finding the Fourth Proportional to 57,497.74, 86,242.98 and 21,467.16

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Solution

The fourth proportional to 57,497.74, 86,242.98 and 21,467.16 is: 32,199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,497.74 : 86,242.98 = 21,467.16 : x
  2. Step 2: Convert to fraction form
    57,497.74/86,242.98 = 21,467.16/x
  3. Step 3: Cross multiply
    57,497.74x = 86,242.98 × 21,467.16
  4. Step 4: Simplify right side
    57,497.74x = 1,851,391,850.54
  5. Step 5: Solve for x
    x = 1,851,391,850.54/57,497.74
  6. Step 6: Final answer
    x = 32,199.38

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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.