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Finding the Fourth Proportional to 40,057, 55,281.90 and 23,293.24

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Solution

The fourth proportional to 40,057, 55,281.90 and 23,293.24 is: 32,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,057 : 55,281.90 = 23,293.24 : x
  2. Step 2: Convert to fraction form
    40,057/55,281.90 = 23,293.24/x
  3. Step 3: Cross multiply
    40,057x = 55,281.90 × 23,293.24
  4. Step 4: Simplify right side
    40,057x = 1,287,694,564.36
  5. Step 5: Solve for x
    x = 1,287,694,564.36/40,057
  6. Step 6: Final answer
    x = 32,146.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.