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Finding the Fourth Proportional to 32,208.52, 48,310.62 and 8,833

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Solution

The fourth proportional to 32,208.52, 48,310.62 and 8,833 is: 13,248.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,208.52 : 48,310.62 = 8,833 : x
  2. Step 2: Convert to fraction form
    32,208.52/48,310.62 = 8,833/x
  3. Step 3: Cross multiply
    32,208.52x = 48,310.62 × 8,833
  4. Step 4: Simplify right side
    32,208.52x = 426,727,706.46
  5. Step 5: Solve for x
    x = 426,727,706.46/32,208.52
  6. Step 6: Final answer
    x = 13,248.91

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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.