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Finding the Fourth Proportional to 28,057, 42,023.70 and 23,193.22

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Solution

The fourth proportional to 28,057, 42,023.70 and 23,193.22 is: 34,738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,057 : 42,023.70 = 23,193.22 : x
  2. Step 2: Convert to fraction form
    28,057/42,023.70 = 23,193.22/x
  3. Step 3: Cross multiply
    28,057x = 42,023.70 × 23,193.22
  4. Step 4: Simplify right side
    28,057x = 974,664,919.31
  5. Step 5: Solve for x
    x = 974,664,919.31/28,057
  6. Step 6: Final answer
    x = 34,738.74

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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.