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Finding the Fourth Proportional to 32,685.92, 48,967.20 and 19,319

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Solution

The fourth proportional to 32,685.92, 48,967.20 and 19,319 is: 28,942.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,685.92 : 48,967.20 = 19,319 : x
  2. Step 2: Convert to fraction form
    32,685.92/48,967.20 = 19,319/x
  3. Step 3: Cross multiply
    32,685.92x = 48,967.20 × 19,319
  4. Step 4: Simplify right side
    32,685.92x = 945,997,336.80
  5. Step 5: Solve for x
    x = 945,997,336.80/32,685.92
  6. Step 6: Final answer
    x = 28,942.04

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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.