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Finding the Fourth Proportional to 31,663.52, 47,506.80 and 15,028.64

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Solution

The fourth proportional to 31,663.52, 47,506.80 and 15,028.64 is: 22,548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,663.52 : 47,506.80 = 15,028.64 : x
  2. Step 2: Convert to fraction form
    31,663.52/47,506.80 = 15,028.64/x
  3. Step 3: Cross multiply
    31,663.52x = 47,506.80 × 15,028.64
  4. Step 4: Simplify right side
    31,663.52x = 713,962,594.75
  5. Step 5: Solve for x
    x = 713,962,594.75/31,663.52
  6. Step 6: Final answer
    x = 22,548.43

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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.