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Finding the Fourth Proportional to 94,136.34, 141,223.95 and 27,578.64

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Solution

The fourth proportional to 94,136.34, 141,223.95 and 27,578.64 is: 41,373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,136.34 : 141,223.95 = 27,578.64 : x
  2. Step 2: Convert to fraction form
    94,136.34/141,223.95 = 27,578.64/x
  3. Step 3: Cross multiply
    94,136.34x = 141,223.95 × 27,578.64
  4. Step 4: Simplify right side
    94,136.34x = 3,894,764,476.43
  5. Step 5: Solve for x
    x = 3,894,764,476.43/94,136.34
  6. Step 6: Final answer
    x = 41,373.66

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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.