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Finding the Fourth Proportional to 61,193.30, 91,823.40 and 23,754.86

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Solution

The fourth proportional to 61,193.30, 91,823.40 and 23,754.86 is: 35,645.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,193.30 : 91,823.40 = 23,754.86 : x
  2. Step 2: Convert to fraction form
    61,193.30/91,823.40 = 23,754.86/x
  3. Step 3: Cross multiply
    61,193.30x = 91,823.40 × 23,754.86
  4. Step 4: Simplify right side
    61,193.30x = 2,181,252,011.72
  5. Step 5: Solve for x
    x = 2,181,252,011.72/61,193.30
  6. Step 6: Final answer
    x = 35,645.28

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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.