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Finding the Fourth Proportional to 61,784.13, 92,620.71 and 30,176.31

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Solution

The fourth proportional to 61,784.13, 92,620.71 and 30,176.31 is: 45,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,784.13 : 92,620.71 = 30,176.31 : x
  2. Step 2: Convert to fraction form
    61,784.13/92,620.71 = 30,176.31/x
  3. Step 3: Cross multiply
    61,784.13x = 92,620.71 × 30,176.31
  4. Step 4: Simplify right side
    61,784.13x = 2,794,951,257.38
  5. Step 5: Solve for x
    x = 2,794,951,257.38/61,784.13
  6. Step 6: Final answer
    x = 45,237.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.