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Finding the Fourth Proportional to 57,212.60, 85,835.10 and 17,773.70

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Solution

The fourth proportional to 57,212.60, 85,835.10 and 17,773.70 is: 26,665.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,212.60 : 85,835.10 = 17,773.70 : x
  2. Step 2: Convert to fraction form
    57,212.60/85,835.10 = 17,773.70/x
  3. Step 3: Cross multiply
    57,212.60x = 85,835.10 × 17,773.70
  4. Step 4: Simplify right side
    57,212.60x = 1,525,607,316.87
  5. Step 5: Solve for x
    x = 1,525,607,316.87/57,212.60
  6. Step 6: Final answer
    x = 26,665.58

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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.