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Finding the Fourth Proportional to 91,834, 137,774.12 and 26,170

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Solution

The fourth proportional to 91,834, 137,774.12 and 26,170 is: 39,261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,834 : 137,774.12 = 26,170 : x
  2. Step 2: Convert to fraction form
    91,834/137,774.12 = 26,170/x
  3. Step 3: Cross multiply
    91,834x = 137,774.12 × 26,170
  4. Step 4: Simplify right side
    91,834x = 3,605,548,720.40
  5. Step 5: Solve for x
    x = 3,605,548,720.40/91,834
  6. Step 6: Final answer
    x = 39,261.59

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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.