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Finding the Fourth Proportional to 32,841.76, 49,267.50 and 12,063.64

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Solution

The fourth proportional to 32,841.76, 49,267.50 and 12,063.64 is: 18,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,841.76 : 49,267.50 = 12,063.64 : x
  2. Step 2: Convert to fraction form
    32,841.76/49,267.50 = 12,063.64/x
  3. Step 3: Cross multiply
    32,841.76x = 49,267.50 × 12,063.64
  4. Step 4: Simplify right side
    32,841.76x = 594,345,383.70
  5. Step 5: Solve for x
    x = 594,345,383.70/32,841.76
  6. Step 6: Final answer
    x = 18,097.25

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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.