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Finding the Fourth Proportional to 32,076, 44,284.32 and 20,917.44

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Solution

The fourth proportional to 32,076, 44,284.32 and 20,917.44 is: 28,878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076 : 44,284.32 = 20,917.44 : x
  2. Step 2: Convert to fraction form
    32,076/44,284.32 = 20,917.44/x
  3. Step 3: Cross multiply
    32,076x = 44,284.32 × 20,917.44
  4. Step 4: Simplify right side
    32,076x = 926,314,606.54
  5. Step 5: Solve for x
    x = 926,314,606.54/32,076
  6. Step 6: Final answer
    x = 28,878.74

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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.