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Finding the Fourth Proportional to 92,642.33, 138,942.54 and 55,213.04

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Solution

The fourth proportional to 92,642.33, 138,942.54 and 55,213.04 is: 82,807.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,642.33 : 138,942.54 = 55,213.04 : x
  2. Step 2: Convert to fraction form
    92,642.33/138,942.54 = 55,213.04/x
  3. Step 3: Cross multiply
    92,642.33x = 138,942.54 × 55,213.04
  4. Step 4: Simplify right side
    92,642.33x = 7,671,440,366.08
  5. Step 5: Solve for x
    x = 7,671,440,366.08/92,642.33
  6. Step 6: Final answer
    x = 82,807.07

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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.