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Finding the Fourth Proportional to 42,122.28, 58,127.97 and 23,259

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Solution

The fourth proportional to 42,122.28, 58,127.97 and 23,259 is: 32,096.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,122.28 : 58,127.97 = 23,259 : x
  2. Step 2: Convert to fraction form
    42,122.28/58,127.97 = 23,259/x
  3. Step 3: Cross multiply
    42,122.28x = 58,127.97 × 23,259
  4. Step 4: Simplify right side
    42,122.28x = 1,351,998,454.23
  5. Step 5: Solve for x
    x = 1,351,998,454.23/42,122.28
  6. Step 6: Final answer
    x = 32,096.99

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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.