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Finding the Fourth Proportional to 31,468.50, 47,202.75 and 21,577.79

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Solution

The fourth proportional to 31,468.50, 47,202.75 and 21,577.79 is: 32,366.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,468.50 : 47,202.75 = 21,577.79 : x
  2. Step 2: Convert to fraction form
    31,468.50/47,202.75 = 21,577.79/x
  3. Step 3: Cross multiply
    31,468.50x = 47,202.75 × 21,577.79
  4. Step 4: Simplify right side
    31,468.50x = 1,018,531,144.93
  5. Step 5: Solve for x
    x = 1,018,531,144.93/31,468.50
  6. Step 6: Final answer
    x = 32,366.69

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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.