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Finding the Fourth Proportional to 32,138.16, 48,194.28 and 9,946.32

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Solution

The fourth proportional to 32,138.16, 48,194.28 and 9,946.32 is: 14,915.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,138.16 : 48,194.28 = 9,946.32 : x
  2. Step 2: Convert to fraction form
    32,138.16/48,194.28 = 9,946.32/x
  3. Step 3: Cross multiply
    32,138.16x = 48,194.28 × 9,946.32
  4. Step 4: Simplify right side
    32,138.16x = 479,355,731.05
  5. Step 5: Solve for x
    x = 479,355,731.05/32,138.16
  6. Step 6: Final answer
    x = 14,915.47

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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.