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Finding the Fourth Proportional to 51,812.44, 77,669.34 and 33,039.76

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Solution

The fourth proportional to 51,812.44, 77,669.34 and 33,039.76 is: 49,528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,812.44 : 77,669.34 = 33,039.76 : x
  2. Step 2: Convert to fraction form
    51,812.44/77,669.34 = 33,039.76/x
  3. Step 3: Cross multiply
    51,812.44x = 77,669.34 × 33,039.76
  4. Step 4: Simplify right side
    51,812.44x = 2,566,176,352.96
  5. Step 5: Solve for x
    x = 2,566,176,352.96/51,812.44
  6. Step 6: Final answer
    x = 49,528.19

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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.