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Finding the Fourth Proportional to 34,644.38, 47,808.59 and 19,536.77

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Solution

The fourth proportional to 34,644.38, 47,808.59 and 19,536.77 is: 26,960.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,644.38 : 47,808.59 = 19,536.77 : x
  2. Step 2: Convert to fraction form
    34,644.38/47,808.59 = 19,536.77/x
  3. Step 3: Cross multiply
    34,644.38x = 47,808.59 × 19,536.77
  4. Step 4: Simplify right side
    34,644.38x = 934,025,448.69
  5. Step 5: Solve for x
    x = 934,025,448.69/34,644.38
  6. Step 6: Final answer
    x = 26,960.37

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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.