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Finding the Fourth Proportional to 57,068.64, 85,586.24 and 21,504.30

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Solution

The fourth proportional to 57,068.64, 85,586.24 and 21,504.30 is: 32,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,068.64 : 85,586.24 = 21,504.30 : x
  2. Step 2: Convert to fraction form
    57,068.64/85,586.24 = 21,504.30/x
  3. Step 3: Cross multiply
    57,068.64x = 85,586.24 × 21,504.30
  4. Step 4: Simplify right side
    57,068.64x = 1,840,471,645.38
  5. Step 5: Solve for x
    x = 1,840,471,645.38/57,068.64
  6. Step 6: Final answer
    x = 32,250.14

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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.