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Finding the Fourth Proportional to 46,789.38, 64,580.82 and 26,658.14

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Solution

The fourth proportional to 46,789.38, 64,580.82 and 26,658.14 is: 36,794.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,789.38 : 64,580.82 = 26,658.14 : x
  2. Step 2: Convert to fraction form
    46,789.38/64,580.82 = 26,658.14/x
  3. Step 3: Cross multiply
    46,789.38x = 64,580.82 × 26,658.14
  4. Step 4: Simplify right side
    46,789.38x = 1,721,604,317.94
  5. Step 5: Solve for x
    x = 1,721,604,317.94/46,789.38
  6. Step 6: Final answer
    x = 36,794.76

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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.