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Finding the Fourth Proportional to 53,682.38, 74,076.27 and 31,339.34

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Solution

The fourth proportional to 53,682.38, 74,076.27 and 31,339.34 is: 43,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,682.38 : 74,076.27 = 31,339.34 : x
  2. Step 2: Convert to fraction form
    53,682.38/74,076.27 = 31,339.34/x
  3. Step 3: Cross multiply
    53,682.38x = 74,076.27 × 31,339.34
  4. Step 4: Simplify right side
    53,682.38x = 2,321,501,411.46
  5. Step 5: Solve for x
    x = 2,321,501,411.46/53,682.38
  6. Step 6: Final answer
    x = 43,245.13

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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.