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Finding the Fourth Proportional to 32,004.32, 44,165.84 and 17,857.16

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Solution

The fourth proportional to 32,004.32, 44,165.84 and 17,857.16 is: 24,642.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,004.32 : 44,165.84 = 17,857.16 : x
  2. Step 2: Convert to fraction form
    32,004.32/44,165.84 = 17,857.16/x
  3. Step 3: Cross multiply
    32,004.32x = 44,165.84 × 17,857.16
  4. Step 4: Simplify right side
    32,004.32x = 788,676,471.41
  5. Step 5: Solve for x
    x = 788,676,471.41/32,004.32
  6. Step 6: Final answer
    x = 24,642.81

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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.