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Finding the Fourth Proportional to 31,806.54, 47,709.81 and 11,030.04

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Solution

The fourth proportional to 31,806.54, 47,709.81 and 11,030.04 is: 16,545.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806.54 : 47,709.81 = 11,030.04 : x
  2. Step 2: Convert to fraction form
    31,806.54/47,709.81 = 11,030.04/x
  3. Step 3: Cross multiply
    31,806.54x = 47,709.81 × 11,030.04
  4. Step 4: Simplify right side
    31,806.54x = 526,241,112.69
  5. Step 5: Solve for x
    x = 526,241,112.69/31,806.54
  6. Step 6: Final answer
    x = 16,545.06

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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.