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Finding the Fourth Proportional to 32,254.08, 44,512 and 18,106.56

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Solution

The fourth proportional to 32,254.08, 44,512 and 18,106.56 is: 24,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,254.08 : 44,512 = 18,106.56 : x
  2. Step 2: Convert to fraction form
    32,254.08/44,512 = 18,106.56/x
  3. Step 3: Cross multiply
    32,254.08x = 44,512 × 18,106.56
  4. Step 4: Simplify right side
    32,254.08x = 805,959,198.72
  5. Step 5: Solve for x
    x = 805,959,198.72/32,254.08
  6. Step 6: Final answer
    x = 24,987.82

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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.