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Finding the Fourth Proportional to 75,574.60, 113,299.82 and 51,816.52

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Solution

The fourth proportional to 75,574.60, 113,299.82 and 51,816.52 is: 77,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,574.60 : 113,299.82 = 51,816.52 : x
  2. Step 2: Convert to fraction form
    75,574.60/113,299.82 = 51,816.52/x
  3. Step 3: Cross multiply
    75,574.60x = 113,299.82 × 51,816.52
  4. Step 4: Simplify right side
    75,574.60x = 5,870,802,389.03
  5. Step 5: Solve for x
    x = 5,870,802,389.03/75,574.60
  6. Step 6: Final answer
    x = 77,682.22

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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.