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Finding the Fourth Proportional to 81,838.76, 122,779.50 and 25,680.65

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Solution

The fourth proportional to 81,838.76, 122,779.50 and 25,680.65 is: 38,527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,838.76 : 122,779.50 = 25,680.65 : x
  2. Step 2: Convert to fraction form
    81,838.76/122,779.50 = 25,680.65/x
  3. Step 3: Cross multiply
    81,838.76x = 122,779.50 × 25,680.65
  4. Step 4: Simplify right side
    81,838.76x = 3,153,056,656.48
  5. Step 5: Solve for x
    x = 3,153,056,656.48/81,838.76
  6. Step 6: Final answer
    x = 38,527.67

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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.