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Finding the Fourth Proportional to 47,899.71, 66,103.64 and 26,678.97

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Solution

The fourth proportional to 47,899.71, 66,103.64 and 26,678.97 is: 36,818.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,899.71 : 66,103.64 = 26,678.97 : x
  2. Step 2: Convert to fraction form
    47,899.71/66,103.64 = 26,678.97/x
  3. Step 3: Cross multiply
    47,899.71x = 66,103.64 × 26,678.97
  4. Step 4: Simplify right side
    47,899.71x = 1,763,577,095.15
  5. Step 5: Solve for x
    x = 1,763,577,095.15/47,899.71
  6. Step 6: Final answer
    x = 36,818.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.