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Finding the Fourth Proportional to 75,764.36, 113,679.36 and 40,663.01

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Solution

The fourth proportional to 75,764.36, 113,679.36 and 40,663.01 is: 61,012.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,764.36 : 113,679.36 = 40,663.01 : x
  2. Step 2: Convert to fraction form
    75,764.36/113,679.36 = 40,663.01/x
  3. Step 3: Cross multiply
    75,764.36x = 113,679.36 × 40,663.01
  4. Step 4: Simplify right side
    75,764.36x = 4,622,544,384.08
  5. Step 5: Solve for x
    x = 4,622,544,384.08/75,764.36
  6. Step 6: Final answer
    x = 61,012.13

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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.