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Finding the Fourth Proportional to 57,676.32, 86,462.64 and 22,641.12

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Solution

The fourth proportional to 57,676.32, 86,462.64 and 22,641.12 is: 33,941.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,676.32 : 86,462.64 = 22,641.12 : x
  2. Step 2: Convert to fraction form
    57,676.32/86,462.64 = 22,641.12/x
  3. Step 3: Cross multiply
    57,676.32x = 86,462.64 × 22,641.12
  4. Step 4: Simplify right side
    57,676.32x = 1,957,611,007.76
  5. Step 5: Solve for x
    x = 1,957,611,007.76/57,676.32
  6. Step 6: Final answer
    x = 33,941.33

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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.