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Finding the Fourth Proportional to 57,186.40, 78,906 and 32,031.04

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Solution

The fourth proportional to 57,186.40, 78,906 and 32,031.04 is: 44,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,186.40 : 78,906 = 32,031.04 : x
  2. Step 2: Convert to fraction form
    57,186.40/78,906 = 32,031.04/x
  3. Step 3: Cross multiply
    57,186.40x = 78,906 × 32,031.04
  4. Step 4: Simplify right side
    57,186.40x = 2,527,441,242.24
  5. Step 5: Solve for x
    x = 2,527,441,242.24/57,186.40
  6. Step 6: Final answer
    x = 44,196.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.