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Finding the Fourth Proportional to 49,160, 67,837.28 and 27,935.68

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Solution

The fourth proportional to 49,160, 67,837.28 and 27,935.68 is: 38,549.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,160 : 67,837.28 = 27,935.68 : x
  2. Step 2: Convert to fraction form
    49,160/67,837.28 = 27,935.68/x
  3. Step 3: Cross multiply
    49,160x = 67,837.28 × 27,935.68
  4. Step 4: Simplify right side
    49,160x = 1,895,080,546.15
  5. Step 5: Solve for x
    x = 1,895,080,546.15/49,160
  6. Step 6: Final answer
    x = 38,549.24

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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.