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Finding the Fourth Proportional to 35,642.71, 49,188.45 and 19,727.16

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Solution

The fourth proportional to 35,642.71, 49,188.45 and 19,727.16 is: 27,224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,642.71 : 49,188.45 = 19,727.16 : x
  2. Step 2: Convert to fraction form
    35,642.71/49,188.45 = 19,727.16/x
  3. Step 3: Cross multiply
    35,642.71x = 49,188.45 × 19,727.16
  4. Step 4: Simplify right side
    35,642.71x = 970,348,423.30
  5. Step 5: Solve for x
    x = 970,348,423.30/35,642.71
  6. Step 6: Final answer
    x = 27,224.32

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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.