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Finding the Fourth Proportional to 32,146.40, 48,211.84 and 8,772.96

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Solution

The fourth proportional to 32,146.40, 48,211.84 and 8,772.96 is: 13,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,146.40 : 48,211.84 = 8,772.96 : x
  2. Step 2: Convert to fraction form
    32,146.40/48,211.84 = 8,772.96/x
  3. Step 3: Cross multiply
    32,146.40x = 48,211.84 × 8,772.96
  4. Step 4: Simplify right side
    32,146.40x = 422,960,543.85
  5. Step 5: Solve for x
    x = 422,960,543.85/32,146.40
  6. Step 6: Final answer
    x = 13,157.32

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Why These Related Problems?

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