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Finding the Fourth Proportional to 81,929.86, 122,894.72 and 22,765.50

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Solution

The fourth proportional to 81,929.86, 122,894.72 and 22,765.50 is: 34,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,929.86 : 122,894.72 = 22,765.50 : x
  2. Step 2: Convert to fraction form
    81,929.86/122,894.72 = 22,765.50/x
  3. Step 3: Cross multiply
    81,929.86x = 122,894.72 × 22,765.50
  4. Step 4: Simplify right side
    81,929.86x = 2,797,759,748.16
  5. Step 5: Solve for x
    x = 2,797,759,748.16/81,929.86
  6. Step 6: Final answer
    x = 34,148.23

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