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Finding the Fourth Proportional to 57,170.34, 78,895.44 and 32,019.84

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Solution

The fourth proportional to 57,170.34, 78,895.44 and 32,019.84 is: 44,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,170.34 : 78,895.44 = 32,019.84 : x
  2. Step 2: Convert to fraction form
    57,170.34/78,895.44 = 32,019.84/x
  3. Step 3: Cross multiply
    57,170.34x = 78,895.44 × 32,019.84
  4. Step 4: Simplify right side
    57,170.34x = 2,526,219,365.53
  5. Step 5: Solve for x
    x = 2,526,219,365.53/57,170.34
  6. Step 6: Final answer
    x = 44,187.59

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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.