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Finding the Fourth Proportional to 57,066.60, 85,583.16 and 21,502.26

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Solution

The fourth proportional to 57,066.60, 85,583.16 and 21,502.26 is: 32,247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,066.60 : 85,583.16 = 21,502.26 : x
  2. Step 2: Convert to fraction form
    57,066.60/85,583.16 = 21,502.26/x
  3. Step 3: Cross multiply
    57,066.60x = 85,583.16 × 21,502.26
  4. Step 4: Simplify right side
    57,066.60x = 1,840,231,357.94
  5. Step 5: Solve for x
    x = 1,840,231,357.94/57,066.60
  6. Step 6: Final answer
    x = 32,247.08

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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.