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Finding the Fourth Proportional to 31,907.05, 47,867.72 and 9,722.16

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Solution

The fourth proportional to 31,907.05, 47,867.72 and 9,722.16 is: 14,585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.05 : 47,867.72 = 9,722.16 : x
  2. Step 2: Convert to fraction form
    31,907.05/47,867.72 = 9,722.16/x
  3. Step 3: Cross multiply
    31,907.05x = 47,867.72 × 9,722.16
  4. Step 4: Simplify right side
    31,907.05x = 465,377,763.57
  5. Step 5: Solve for x
    x = 465,377,763.57/31,907.05
  6. Step 6: Final answer
    x = 14,585.42

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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.