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Finding the Fourth Proportional to 68,527.92, 102,764.65 and 26,384.65

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Solution

The fourth proportional to 68,527.92, 102,764.65 and 26,384.65 is: 39,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,527.92 : 102,764.65 = 26,384.65 : x
  2. Step 2: Convert to fraction form
    68,527.92/102,764.65 = 26,384.65/x
  3. Step 3: Cross multiply
    68,527.92x = 102,764.65 × 26,384.65
  4. Step 4: Simplify right side
    68,527.92x = 2,711,409,627.27
  5. Step 5: Solve for x
    x = 2,711,409,627.27/68,527.92
  6. Step 6: Final answer
    x = 39,566.49

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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.