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Finding the Fourth Proportional to 57,137.53, 78,854.27 and 32,946.27

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Solution

The fourth proportional to 57,137.53, 78,854.27 and 32,946.27 is: 45,468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,137.53 : 78,854.27 = 32,946.27 : x
  2. Step 2: Convert to fraction form
    57,137.53/78,854.27 = 32,946.27/x
  3. Step 3: Cross multiply
    57,137.53x = 78,854.27 × 32,946.27
  4. Step 4: Simplify right side
    57,137.53x = 2,597,953,905.34
  5. Step 5: Solve for x
    x = 2,597,953,905.34/57,137.53
  6. Step 6: Final answer
    x = 45,468.43

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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.