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Finding the Fourth Proportional to 31,954.94, 44,102.16 and 18,530.40

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Solution

The fourth proportional to 31,954.94, 44,102.16 and 18,530.40 is: 25,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,954.94 : 44,102.16 = 18,530.40 : x
  2. Step 2: Convert to fraction form
    31,954.94/44,102.16 = 18,530.40/x
  3. Step 3: Cross multiply
    31,954.94x = 44,102.16 × 18,530.40
  4. Step 4: Simplify right side
    31,954.94x = 817,230,665.66
  5. Step 5: Solve for x
    x = 817,230,665.66/31,954.94
  6. Step 6: Final answer
    x = 25,574.47

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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.