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Finding the Fourth Proportional to 94,176, 141,264 and 34,943.04

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Solution

The fourth proportional to 94,176, 141,264 and 34,943.04 is: 52,414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,176 : 141,264 = 34,943.04 : x
  2. Step 2: Convert to fraction form
    94,176/141,264 = 34,943.04/x
  3. Step 3: Cross multiply
    94,176x = 141,264 × 34,943.04
  4. Step 4: Simplify right side
    94,176x = 4,936,193,602.56
  5. Step 5: Solve for x
    x = 4,936,193,602.56/94,176
  6. Step 6: Final answer
    x = 52,414.56

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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.