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Finding the Fourth Proportional to 57,153.60, 85,733.76 and 22,093.44

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Solution

The fourth proportional to 57,153.60, 85,733.76 and 22,093.44 is: 33,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,153.60 : 85,733.76 = 22,093.44 : x
  2. Step 2: Convert to fraction form
    57,153.60/85,733.76 = 22,093.44/x
  3. Step 3: Cross multiply
    57,153.60x = 85,733.76 × 22,093.44
  4. Step 4: Simplify right side
    57,153.60x = 1,894,153,682.53
  5. Step 5: Solve for x
    x = 1,894,153,682.53/57,153.60
  6. Step 6: Final answer
    x = 33,141.46

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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.