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Finding the Fourth Proportional to 49,287, 68,016.12 and 26,931

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Solution

The fourth proportional to 49,287, 68,016.12 and 26,931 is: 37,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,287 : 68,016.12 = 26,931 : x
  2. Step 2: Convert to fraction form
    49,287/68,016.12 = 26,931/x
  3. Step 3: Cross multiply
    49,287x = 68,016.12 × 26,931
  4. Step 4: Simplify right side
    49,287x = 1,831,742,127.72
  5. Step 5: Solve for x
    x = 1,831,742,127.72/49,287
  6. Step 6: Final answer
    x = 37,164.81

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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.