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Finding the Fourth Proportional to 32,142.55, 48,204.52 and 9,652.32

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Solution

The fourth proportional to 32,142.55, 48,204.52 and 9,652.32 is: 14,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.55 : 48,204.52 = 9,652.32 : x
  2. Step 2: Convert to fraction form
    32,142.55/48,204.52 = 9,652.32/x
  3. Step 3: Cross multiply
    32,142.55x = 48,204.52 × 9,652.32
  4. Step 4: Simplify right side
    32,142.55x = 465,285,563.93
  5. Step 5: Solve for x
    x = 465,285,563.93/32,142.55
  6. Step 6: Final answer
    x = 14,475.69

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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.