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Finding the Fourth Proportional to 31,866.98, 47,806.54 and 15,228.32

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Solution

The fourth proportional to 31,866.98, 47,806.54 and 15,228.32 is: 22,845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,866.98 : 47,806.54 = 15,228.32 : x
  2. Step 2: Convert to fraction form
    31,866.98/47,806.54 = 15,228.32/x
  3. Step 3: Cross multiply
    31,866.98x = 47,806.54 × 15,228.32
  4. Step 4: Simplify right side
    31,866.98x = 728,013,289.21
  5. Step 5: Solve for x
    x = 728,013,289.21/31,866.98
  6. Step 6: Final answer
    x = 22,845.38

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1.5x scale

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.