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Finding the Fourth Proportional to 42,073.56, 58,058.64 and 23,211

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Solution

The fourth proportional to 42,073.56, 58,058.64 and 23,211 is: 32,029.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,073.56 : 58,058.64 = 23,211 : x
  2. Step 2: Convert to fraction form
    42,073.56/58,058.64 = 23,211/x
  3. Step 3: Cross multiply
    42,073.56x = 58,058.64 × 23,211
  4. Step 4: Simplify right side
    42,073.56x = 1,347,599,093.04
  5. Step 5: Solve for x
    x = 1,347,599,093.04/42,073.56
  6. Step 6: Final answer
    x = 32,029.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.