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Finding the Fourth Proportional to 35,724.72, 49,302.90 and 19,812.28

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Solution

The fourth proportional to 35,724.72, 49,302.90 and 19,812.28 is: 27,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,724.72 : 49,302.90 = 19,812.28 : x
  2. Step 2: Convert to fraction form
    35,724.72/49,302.90 = 19,812.28/x
  3. Step 3: Cross multiply
    35,724.72x = 49,302.90 × 19,812.28
  4. Step 4: Simplify right side
    35,724.72x = 976,802,859.61
  5. Step 5: Solve for x
    x = 976,802,859.61/35,724.72
  6. Step 6: Final answer
    x = 27,342.49

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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.