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Finding the Fourth Proportional to 31,324.38, 43,228.26 and 17,178

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Solution

The fourth proportional to 31,324.38, 43,228.26 and 17,178 is: 23,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,324.38 : 43,228.26 = 17,178 : x
  2. Step 2: Convert to fraction form
    31,324.38/43,228.26 = 17,178/x
  3. Step 3: Cross multiply
    31,324.38x = 43,228.26 × 17,178
  4. Step 4: Simplify right side
    31,324.38x = 742,575,050.28
  5. Step 5: Solve for x
    x = 742,575,050.28/31,324.38
  6. Step 6: Final answer
    x = 23,705.98

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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.