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Finding the Fourth Proportional to 31,403.40, 47,181.90 and 23,627.40

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Solution

The fourth proportional to 31,403.40, 47,181.90 and 23,627.40 is: 35,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,403.40 : 47,181.90 = 23,627.40 : x
  2. Step 2: Convert to fraction form
    31,403.40/47,181.90 = 23,627.40/x
  3. Step 3: Cross multiply
    31,403.40x = 47,181.90 × 23,627.40
  4. Step 4: Simplify right side
    31,403.40x = 1,114,785,624.06
  5. Step 5: Solve for x
    x = 1,114,785,624.06/31,403.40
  6. Step 6: Final answer
    x = 35,498.88

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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.