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Finding the Fourth Proportional to 89,792.08, 134,703.24 and 27,448

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Solution

The fourth proportional to 89,792.08, 134,703.24 and 27,448 is: 41,176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,792.08 : 134,703.24 = 27,448 : x
  2. Step 2: Convert to fraction form
    89,792.08/134,703.24 = 27,448/x
  3. Step 3: Cross multiply
    89,792.08x = 134,703.24 × 27,448
  4. Step 4: Simplify right side
    89,792.08x = 3,697,334,531.52
  5. Step 5: Solve for x
    x = 3,697,334,531.52/89,792.08
  6. Step 6: Final answer
    x = 41,176.62

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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.