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Finding the Fourth Proportional to 32,475.72, 48,711.74 and 8,782.92

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Solution

The fourth proportional to 32,475.72, 48,711.74 and 8,782.92 is: 13,173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,475.72 : 48,711.74 = 8,782.92 : x
  2. Step 2: Convert to fraction form
    32,475.72/48,711.74 = 8,782.92/x
  3. Step 3: Cross multiply
    32,475.72x = 48,711.74 × 8,782.92
  4. Step 4: Simplify right side
    32,475.72x = 427,831,271.57
  5. Step 5: Solve for x
    x = 427,831,271.57/32,475.72
  6. Step 6: Final answer
    x = 13,173.88

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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.