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Finding the Fourth Proportional to 47,709.12, 65,835.54 and 26,488.38

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Solution

The fourth proportional to 47,709.12, 65,835.54 and 26,488.38 is: 36,552.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,709.12 : 65,835.54 = 26,488.38 : x
  2. Step 2: Convert to fraction form
    47,709.12/65,835.54 = 26,488.38/x
  3. Step 3: Cross multiply
    47,709.12x = 65,835.54 × 26,488.38
  4. Step 4: Simplify right side
    47,709.12x = 1,743,876,801.03
  5. Step 5: Solve for x
    x = 1,743,876,801.03/47,709.12
  6. Step 6: Final answer
    x = 36,552.27

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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.