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Finding the Fourth Proportional to 51,187.52, 76,810.44 and 17,914.74

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Solution

The fourth proportional to 51,187.52, 76,810.44 and 17,914.74 is: 26,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,187.52 : 76,810.44 = 17,914.74 : x
  2. Step 2: Convert to fraction form
    51,187.52/76,810.44 = 17,914.74/x
  3. Step 3: Cross multiply
    51,187.52x = 76,810.44 × 17,914.74
  4. Step 4: Simplify right side
    51,187.52x = 1,376,039,061.89
  5. Step 5: Solve for x
    x = 1,376,039,061.89/51,187.52
  6. Step 6: Final answer
    x = 26,882.32

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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.