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Finding the Fourth Proportional to 32,873.36, 49,310.40 and 9,500

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Solution

The fourth proportional to 32,873.36, 49,310.40 and 9,500 is: 14,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,873.36 : 49,310.40 = 9,500 : x
  2. Step 2: Convert to fraction form
    32,873.36/49,310.40 = 9,500/x
  3. Step 3: Cross multiply
    32,873.36x = 49,310.40 × 9,500
  4. Step 4: Simplify right side
    32,873.36x = 468,448,800
  5. Step 5: Solve for x
    x = 468,448,800/32,873.36
  6. Step 6: Final answer
    x = 14,250.10

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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.