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Finding the Fourth Proportional to 32,034.64, 48,051.96 and 16,442.32

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Solution

The fourth proportional to 32,034.64, 48,051.96 and 16,442.32 is: 24,663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,034.64 : 48,051.96 = 16,442.32 : x
  2. Step 2: Convert to fraction form
    32,034.64/48,051.96 = 16,442.32/x
  3. Step 3: Cross multiply
    32,034.64x = 48,051.96 × 16,442.32
  4. Step 4: Simplify right side
    32,034.64x = 790,085,702.95
  5. Step 5: Solve for x
    x = 790,085,702.95/32,034.64
  6. Step 6: Final answer
    x = 24,663.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.