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Finding the Fourth Proportional to 31,792.60, 47,688.90 and 20,157.40

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Solution

The fourth proportional to 31,792.60, 47,688.90 and 20,157.40 is: 30,236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792.60 : 47,688.90 = 20,157.40 : x
  2. Step 2: Convert to fraction form
    31,792.60/47,688.90 = 20,157.40/x
  3. Step 3: Cross multiply
    31,792.60x = 47,688.90 × 20,157.40
  4. Step 4: Simplify right side
    31,792.60x = 961,284,232.86
  5. Step 5: Solve for x
    x = 961,284,232.86/31,792.60
  6. Step 6: Final answer
    x = 30,236.10

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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.