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Finding the Fourth Proportional to 59,697.36, 82,373.22 and 34,542

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Solution

The fourth proportional to 59,697.36, 82,373.22 and 34,542 is: 47,662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,697.36 : 82,373.22 = 34,542 : x
  2. Step 2: Convert to fraction form
    59,697.36/82,373.22 = 34,542/x
  3. Step 3: Cross multiply
    59,697.36x = 82,373.22 × 34,542
  4. Step 4: Simplify right side
    59,697.36x = 2,845,335,765.24
  5. Step 5: Solve for x
    x = 2,845,335,765.24/59,697.36
  6. Step 6: Final answer
    x = 47,662.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.