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Finding the Fourth Proportional to 57,156.34, 78,878.38 and 32,005.84

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Solution

The fourth proportional to 57,156.34, 78,878.38 and 32,005.84 is: 44,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,156.34 : 78,878.38 = 32,005.84 : x
  2. Step 2: Convert to fraction form
    57,156.34/78,878.38 = 32,005.84/x
  3. Step 3: Cross multiply
    57,156.34x = 78,878.38 × 32,005.84
  4. Step 4: Simplify right side
    57,156.34x = 2,524,568,809.74
  5. Step 5: Solve for x
    x = 2,524,568,809.74/57,156.34
  6. Step 6: Final answer
    x = 44,169.53

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