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Finding the Fourth Proportional to 34,642.25, 47,802.73 and 25,572.44

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Solution

The fourth proportional to 34,642.25, 47,802.73 and 25,572.44 is: 35,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,642.25 : 47,802.73 = 25,572.44 : x
  2. Step 2: Convert to fraction form
    34,642.25/47,802.73 = 25,572.44/x
  3. Step 3: Cross multiply
    34,642.25x = 47,802.73 × 25,572.44
  4. Step 4: Simplify right side
    34,642.25x = 1,222,432,141.82
  5. Step 5: Solve for x
    x = 1,222,432,141.82/34,642.25
  6. Step 6: Final answer
    x = 35,287.32

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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.