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Finding the Fourth Proportional to 75,576.62, 113,379.51 and 42,334.22

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Solution

The fourth proportional to 75,576.62, 113,379.51 and 42,334.22 is: 63,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,576.62 : 113,379.51 = 42,334.22 : x
  2. Step 2: Convert to fraction form
    75,576.62/113,379.51 = 42,334.22/x
  3. Step 3: Cross multiply
    75,576.62x = 113,379.51 × 42,334.22
  4. Step 4: Simplify right side
    75,576.62x = 4,799,833,119.83
  5. Step 5: Solve for x
    x = 4,799,833,119.83/75,576.62
  6. Step 6: Final answer
    x = 63,509.50

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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.