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Finding the Fourth Proportional to 32,225.56, 44,471.32 and 17,884.94

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Solution

The fourth proportional to 32,225.56, 44,471.32 and 17,884.94 is: 24,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,225.56 : 44,471.32 = 17,884.94 : x
  2. Step 2: Convert to fraction form
    32,225.56/44,471.32 = 17,884.94/x
  3. Step 3: Cross multiply
    32,225.56x = 44,471.32 × 17,884.94
  4. Step 4: Simplify right side
    32,225.56x = 795,366,889.92
  5. Step 5: Solve for x
    x = 795,366,889.92/32,225.56
  6. Step 6: Final answer
    x = 24,681.24

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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.