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Finding the Fourth Proportional to 57,162.72, 78,885.64 and 32,012.16

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Solution

The fourth proportional to 57,162.72, 78,885.64 and 32,012.16 is: 44,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,162.72 : 78,885.64 = 32,012.16 : x
  2. Step 2: Convert to fraction form
    57,162.72/78,885.64 = 32,012.16/x
  3. Step 3: Cross multiply
    57,162.72x = 78,885.64 × 32,012.16
  4. Step 4: Simplify right side
    57,162.72x = 2,525,299,729.38
  5. Step 5: Solve for x
    x = 2,525,299,729.38/57,162.72
  6. Step 6: Final answer
    x = 44,177.39

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Why These Related Problems?

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