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Finding the Fourth Proportional to 31,640.60, 47,460.90 and 20,005.40

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Solution

The fourth proportional to 31,640.60, 47,460.90 and 20,005.40 is: 30,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,640.60 : 47,460.90 = 20,005.40 : x
  2. Step 2: Convert to fraction form
    31,640.60/47,460.90 = 20,005.40/x
  3. Step 3: Cross multiply
    31,640.60x = 47,460.90 × 20,005.40
  4. Step 4: Simplify right side
    31,640.60x = 949,474,288.86
  5. Step 5: Solve for x
    x = 949,474,288.86/31,640.60
  6. Step 6: Final answer
    x = 30,008.10

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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.