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Finding the Fourth Proportional to 32,096.34, 48,148.11 and 8,722.98

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Solution

The fourth proportional to 32,096.34, 48,148.11 and 8,722.98 is: 13,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,096.34 : 48,148.11 = 8,722.98 : x
  2. Step 2: Convert to fraction form
    32,096.34/48,148.11 = 8,722.98/x
  3. Step 3: Cross multiply
    32,096.34x = 48,148.11 × 8,722.98
  4. Step 4: Simplify right side
    32,096.34x = 419,995,000.57
  5. Step 5: Solve for x
    x = 419,995,000.57/32,096.34
  6. Step 6: Final answer
    x = 13,085.45

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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.