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Finding the Fourth Proportional to 57,323.82, 86,000.64 and 21,785.76

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Solution

The fourth proportional to 57,323.82, 86,000.64 and 21,785.76 is: 32,684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,323.82 : 86,000.64 = 21,785.76 : x
  2. Step 2: Convert to fraction form
    57,323.82/86,000.64 = 21,785.76/x
  3. Step 3: Cross multiply
    57,323.82x = 86,000.64 × 21,785.76
  4. Step 4: Simplify right side
    57,323.82x = 1,873,589,302.89
  5. Step 5: Solve for x
    x = 1,873,589,302.89/57,323.82
  6. Step 6: Final answer
    x = 32,684.31

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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.