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Finding the Fourth Proportional to 56,706.38, 78,250.22 and 32,834.58

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Solution

The fourth proportional to 56,706.38, 78,250.22 and 32,834.58 is: 45,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,706.38 : 78,250.22 = 32,834.58 : x
  2. Step 2: Convert to fraction form
    56,706.38/78,250.22 = 32,834.58/x
  3. Step 3: Cross multiply
    56,706.38x = 78,250.22 × 32,834.58
  4. Step 4: Simplify right side
    56,706.38x = 2,569,313,108.61
  5. Step 5: Solve for x
    x = 2,569,313,108.61/56,706.38
  6. Step 6: Final answer
    x = 45,309.07

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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.