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Finding the Fourth Proportional to 31,807.76, 47,716.92 and 11,026.40

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Solution

The fourth proportional to 31,807.76, 47,716.92 and 11,026.40 is: 16,541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807.76 : 47,716.92 = 11,026.40 : x
  2. Step 2: Convert to fraction form
    31,807.76/47,716.92 = 11,026.40/x
  3. Step 3: Cross multiply
    31,807.76x = 47,716.92 × 11,026.40
  4. Step 4: Simplify right side
    31,807.76x = 526,145,846.69
  5. Step 5: Solve for x
    x = 526,145,846.69/31,807.76
  6. Step 6: Final answer
    x = 16,541.43

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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.