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Finding the Fourth Proportional to 32,196.72, 44,442.40 and 20,280

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Solution

The fourth proportional to 32,196.72, 44,442.40 and 20,280 is: 27,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,196.72 : 44,442.40 = 20,280 : x
  2. Step 2: Convert to fraction form
    32,196.72/44,442.40 = 20,280/x
  3. Step 3: Cross multiply
    32,196.72x = 44,442.40 × 20,280
  4. Step 4: Simplify right side
    32,196.72x = 901,291,872
  5. Step 5: Solve for x
    x = 901,291,872/32,196.72
  6. Step 6: Final answer
    x = 27,993.28

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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.