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Finding the Fourth Proportional to 32,911.61, 49,364.46 and 9,217.11

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Solution

The fourth proportional to 32,911.61, 49,364.46 and 9,217.11 is: 13,824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,911.61 : 49,364.46 = 9,217.11 : x
  2. Step 2: Convert to fraction form
    32,911.61/49,364.46 = 9,217.11/x
  3. Step 3: Cross multiply
    32,911.61x = 49,364.46 × 9,217.11
  4. Step 4: Simplify right side
    32,911.61x = 454,997,657.91
  5. Step 5: Solve for x
    x = 454,997,657.91/32,911.61
  6. Step 6: Final answer
    x = 13,824.84

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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.