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Finding the Fourth Proportional to 27,602.39, 41,415.89 and 10,068.11

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Solution

The fourth proportional to 27,602.39, 41,415.89 and 10,068.11 is: 15,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602.39 : 41,415.89 = 10,068.11 : x
  2. Step 2: Convert to fraction form
    27,602.39/41,415.89 = 10,068.11/x
  3. Step 3: Cross multiply
    27,602.39x = 41,415.89 × 10,068.11
  4. Step 4: Simplify right side
    27,602.39x = 416,979,789.47
  5. Step 5: Solve for x
    x = 416,979,789.47/27,602.39
  6. Step 6: Final answer
    x = 15,106.66

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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.