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Finding the Fourth Proportional to 49,971, 68,960.16 and 27,615

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Solution

The fourth proportional to 49,971, 68,960.16 and 27,615 is: 38,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,971 : 68,960.16 = 27,615 : x
  2. Step 2: Convert to fraction form
    49,971/68,960.16 = 27,615/x
  3. Step 3: Cross multiply
    49,971x = 68,960.16 × 27,615
  4. Step 4: Simplify right side
    49,971x = 1,904,334,818.40
  5. Step 5: Solve for x
    x = 1,904,334,818.40/49,971
  6. Step 6: Final answer
    x = 38,108.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.