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Finding the Fourth Proportional to 32,200.13, 44,435.49 and 17,857.64

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Solution

The fourth proportional to 32,200.13, 44,435.49 and 17,857.64 is: 24,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,200.13 : 44,435.49 = 17,857.64 : x
  2. Step 2: Convert to fraction form
    32,200.13/44,435.49 = 17,857.64/x
  3. Step 3: Cross multiply
    32,200.13x = 44,435.49 × 17,857.64
  4. Step 4: Simplify right side
    32,200.13x = 793,512,761.47
  5. Step 5: Solve for x
    x = 793,512,761.47/32,200.13
  6. Step 6: Final answer
    x = 24,643.16

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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.