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Finding the Fourth Proportional to 49,186.93, 67,869.50 and 27,673.69

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Solution

The fourth proportional to 49,186.93, 67,869.50 and 27,673.69 is: 38,184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,186.93 : 67,869.50 = 27,673.69 : x
  2. Step 2: Convert to fraction form
    49,186.93/67,869.50 = 27,673.69/x
  3. Step 3: Cross multiply
    49,186.93x = 67,869.50 × 27,673.69
  4. Step 4: Simplify right side
    49,186.93x = 1,878,199,742.31
  5. Step 5: Solve for x
    x = 1,878,199,742.31/49,186.93
  6. Step 6: Final answer
    x = 38,184.93

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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.