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Finding the Fourth Proportional to 49,602.52, 68,455.74 and 30,736

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Solution

The fourth proportional to 49,602.52, 68,455.74 and 30,736 is: 42,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,602.52 : 68,455.74 = 30,736 : x
  2. Step 2: Convert to fraction form
    49,602.52/68,455.74 = 30,736/x
  3. Step 3: Cross multiply
    49,602.52x = 68,455.74 × 30,736
  4. Step 4: Simplify right side
    49,602.52x = 2,104,055,624.64
  5. Step 5: Solve for x
    x = 2,104,055,624.64/49,602.52
  6. Step 6: Final answer
    x = 42,418.32

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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.