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Finding the Fourth Proportional to 42,096.01, 58,092.37 and 23,233

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Solution

The fourth proportional to 42,096.01, 58,092.37 and 23,233 is: 32,061.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,096.01 : 58,092.37 = 23,233 : x
  2. Step 2: Convert to fraction form
    42,096.01/58,092.37 = 23,233/x
  3. Step 3: Cross multiply
    42,096.01x = 58,092.37 × 23,233
  4. Step 4: Simplify right side
    42,096.01x = 1,349,660,032.21
  5. Step 5: Solve for x
    x = 1,349,660,032.21/42,096.01
  6. Step 6: Final answer
    x = 32,061.47

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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.