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Finding the Fourth Proportional to 42,264, 58,324.34 and 23,402.36

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Solution

The fourth proportional to 42,264, 58,324.34 and 23,402.36 is: 32,295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,264 : 58,324.34 = 23,402.36 : x
  2. Step 2: Convert to fraction form
    42,264/58,324.34 = 23,402.36/x
  3. Step 3: Cross multiply
    42,264x = 58,324.34 × 23,402.36
  4. Step 4: Simplify right side
    42,264x = 1,364,927,201.44
  5. Step 5: Solve for x
    x = 1,364,927,201.44/42,264
  6. Step 6: Final answer
    x = 32,295.27

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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.