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Finding the Fourth Proportional to 32,964.60, 49,412.04 and 10,772.03

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Solution

The fourth proportional to 32,964.60, 49,412.04 and 10,772.03 is: 16,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,964.60 : 49,412.04 = 10,772.03 : x
  2. Step 2: Convert to fraction form
    32,964.60/49,412.04 = 10,772.03/x
  3. Step 3: Cross multiply
    32,964.60x = 49,412.04 × 10,772.03
  4. Step 4: Simplify right side
    32,964.60x = 532,267,730.18
  5. Step 5: Solve for x
    x = 532,267,730.18/32,964.60
  6. Step 6: Final answer
    x = 16,146.65

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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.