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Finding the Fourth Proportional to 38,692.69, 53,404.72 and 22,782.26

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Solution

The fourth proportional to 38,692.69, 53,404.72 and 22,782.26 is: 31,444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,692.69 : 53,404.72 = 22,782.26 : x
  2. Step 2: Convert to fraction form
    38,692.69/53,404.72 = 22,782.26/x
  3. Step 3: Cross multiply
    38,692.69x = 53,404.72 × 22,782.26
  4. Step 4: Simplify right side
    38,692.69x = 1,216,680,292.82
  5. Step 5: Solve for x
    x = 1,216,680,292.82/38,692.69
  6. Step 6: Final answer
    x = 31,444.71

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