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Finding the Fourth Proportional to 56,706.24, 78,249.52 and 32,834.53

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Solution

The fourth proportional to 56,706.24, 78,249.52 and 32,834.53 is: 45,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,706.24 : 78,249.52 = 32,834.53 : x
  2. Step 2: Convert to fraction form
    56,706.24/78,249.52 = 32,834.53/x
  3. Step 3: Cross multiply
    56,706.24x = 78,249.52 × 32,834.53
  4. Step 4: Simplify right side
    56,706.24x = 2,569,286,211.93
  5. Step 5: Solve for x
    x = 2,569,286,211.93/56,706.24
  6. Step 6: Final answer
    x = 45,308.70

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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.