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Finding the Fourth Proportional to 32,033.81, 44,206.73 and 17,887.16

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Solution

The fourth proportional to 32,033.81, 44,206.73 and 17,887.16 is: 24,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,033.81 : 44,206.73 = 17,887.16 : x
  2. Step 2: Convert to fraction form
    32,033.81/44,206.73 = 17,887.16/x
  3. Step 3: Cross multiply
    32,033.81x = 44,206.73 × 17,887.16
  4. Step 4: Simplify right side
    32,033.81x = 790,732,852.59
  5. Step 5: Solve for x
    x = 790,732,852.59/32,033.81
  6. Step 6: Final answer
    x = 24,684.32

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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.