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Finding the Fourth Proportional to 68,113.57, 102,178.56 and 22,522.82

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Solution

The fourth proportional to 68,113.57, 102,178.56 and 22,522.82 is: 33,786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,113.57 : 102,178.56 = 22,522.82 : x
  2. Step 2: Convert to fraction form
    68,113.57/102,178.56 = 22,522.82/x
  3. Step 3: Cross multiply
    68,113.57x = 102,178.56 × 22,522.82
  4. Step 4: Simplify right side
    68,113.57x = 2,301,349,314.74
  5. Step 5: Solve for x
    x = 2,301,349,314.74/68,113.57
  6. Step 6: Final answer
    x = 33,786.94

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1.5x scale

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.