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Finding the Fourth Proportional to 31,378.54, 43,242.52 and 30,802.08

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Solution

The fourth proportional to 31,378.54, 43,242.52 and 30,802.08 is: 42,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378.54 : 43,242.52 = 30,802.08 : x
  2. Step 2: Convert to fraction form
    31,378.54/43,242.52 = 30,802.08/x
  3. Step 3: Cross multiply
    31,378.54x = 43,242.52 × 30,802.08
  4. Step 4: Simplify right side
    31,378.54x = 1,331,959,560.44
  5. Step 5: Solve for x
    x = 1,331,959,560.44/31,378.54
  6. Step 6: Final answer
    x = 42,448.10

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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.