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Finding the Fourth Proportional to 41,232, 56,900.16 and 23,326.64

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Solution

The fourth proportional to 41,232, 56,900.16 and 23,326.64 is: 32,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,232 : 56,900.16 = 23,326.64 : x
  2. Step 2: Convert to fraction form
    41,232/56,900.16 = 23,326.64/x
  3. Step 3: Cross multiply
    41,232x = 56,900.16 × 23,326.64
  4. Step 4: Simplify right side
    41,232x = 1,327,289,548.26
  5. Step 5: Solve for x
    x = 1,327,289,548.26/41,232
  6. Step 6: Final answer
    x = 32,190.76

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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.