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Finding the Fourth Proportional to 31,803.52, 47,712.96 and 11,026.56

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Solution

The fourth proportional to 31,803.52, 47,712.96 and 11,026.56 is: 16,542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,803.52 : 47,712.96 = 11,026.56 : x
  2. Step 2: Convert to fraction form
    31,803.52/47,712.96 = 11,026.56/x
  3. Step 3: Cross multiply
    31,803.52x = 47,712.96 × 11,026.56
  4. Step 4: Simplify right side
    31,803.52x = 526,109,816.22
  5. Step 5: Solve for x
    x = 526,109,816.22/31,803.52
  6. Step 6: Final answer
    x = 16,542.50

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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.