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Finding the Fourth Proportional to 47,807.82, 65,975.64 and 26,587.09

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Solution

The fourth proportional to 47,807.82, 65,975.64 and 26,587.09 is: 36,690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,807.82 : 65,975.64 = 26,587.09 : x
  2. Step 2: Convert to fraction form
    47,807.82/65,975.64 = 26,587.09/x
  3. Step 3: Cross multiply
    47,807.82x = 65,975.64 × 26,587.09
  4. Step 4: Simplify right side
    47,807.82x = 1,754,099,964.92
  5. Step 5: Solve for x
    x = 1,754,099,964.92/47,807.82
  6. Step 6: Final answer
    x = 36,690.65

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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.