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Finding the Fourth Proportional to 41,937, 57,873.96 and 23,074.16

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Solution

The fourth proportional to 41,937, 57,873.96 and 23,074.16 is: 31,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,937 : 57,873.96 = 23,074.16 : x
  2. Step 2: Convert to fraction form
    41,937/57,873.96 = 23,074.16/x
  3. Step 3: Cross multiply
    41,937x = 57,873.96 × 23,074.16
  4. Step 4: Simplify right side
    41,937x = 1,335,393,012.87
  5. Step 5: Solve for x
    x = 1,335,393,012.87/41,937
  6. Step 6: Final answer
    x = 31,842.84

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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.