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Finding the Fourth Proportional to 42,083.92, 58,077.03 and 23,222.26

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Solution

The fourth proportional to 42,083.92, 58,077.03 and 23,222.26 is: 32,047.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,083.92 : 58,077.03 = 23,222.26 : x
  2. Step 2: Convert to fraction form
    42,083.92/58,077.03 = 23,222.26/x
  3. Step 3: Cross multiply
    42,083.92x = 58,077.03 × 23,222.26
  4. Step 4: Simplify right side
    42,083.92x = 1,348,679,890.69
  5. Step 5: Solve for x
    x = 1,348,679,890.69/42,083.92
  6. Step 6: Final answer
    x = 32,047.39

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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.