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Finding the Fourth Proportional to 49,097.81, 67,754.36 and 27,875.71

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Solution

The fourth proportional to 49,097.81, 67,754.36 and 27,875.71 is: 38,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,097.81 : 67,754.36 = 27,875.71 : x
  2. Step 2: Convert to fraction form
    49,097.81/67,754.36 = 27,875.71/x
  3. Step 3: Cross multiply
    49,097.81x = 67,754.36 × 27,875.71
  4. Step 4: Simplify right side
    49,097.81x = 1,888,700,890.60
  5. Step 5: Solve for x
    x = 1,888,700,890.60/49,097.81
  6. Step 6: Final answer
    x = 38,468.13

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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.