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Finding the Fourth Proportional to 27,810.58, 41,715.89 and 6,750.65

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Solution

The fourth proportional to 27,810.58, 41,715.89 and 6,750.65 is: 10,125.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,810.58 : 41,715.89 = 6,750.65 : x
  2. Step 2: Convert to fraction form
    27,810.58/41,715.89 = 6,750.65/x
  3. Step 3: Cross multiply
    27,810.58x = 41,715.89 × 6,750.65
  4. Step 4: Simplify right side
    27,810.58x = 281,609,468.68
  5. Step 5: Solve for x
    x = 281,609,468.68/27,810.58
  6. Step 6: Final answer
    x = 10,125.98

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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.