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Finding the Fourth Proportional to 35,642.34, 49,187.25 and 19,727.46

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Solution

The fourth proportional to 35,642.34, 49,187.25 and 19,727.46 is: 27,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,642.34 : 49,187.25 = 19,727.46 : x
  2. Step 2: Convert to fraction form
    35,642.34/49,187.25 = 19,727.46/x
  3. Step 3: Cross multiply
    35,642.34x = 49,187.25 × 19,727.46
  4. Step 4: Simplify right side
    35,642.34x = 970,339,506.89
  5. Step 5: Solve for x
    x = 970,339,506.89/35,642.34
  6. Step 6: Final answer
    x = 27,224.35

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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.