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Finding the Fourth Proportional to 31,014.72, 42,802.56 and 18,268.56

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Solution

The fourth proportional to 31,014.72, 42,802.56 and 18,268.56 is: 25,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,014.72 : 42,802.56 = 18,268.56 : x
  2. Step 2: Convert to fraction form
    31,014.72/42,802.56 = 18,268.56/x
  3. Step 3: Cross multiply
    31,014.72x = 42,802.56 × 18,268.56
  4. Step 4: Simplify right side
    31,014.72x = 781,941,135.51
  5. Step 5: Solve for x
    x = 781,941,135.51/31,014.72
  6. Step 6: Final answer
    x = 25,211.94

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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.