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Finding the Fourth Proportional to 70,102.72, 96,730.34 and 41,418.42

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Solution

The fourth proportional to 70,102.72, 96,730.34 and 41,418.42 is: 57,150.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,102.72 : 96,730.34 = 41,418.42 : x
  2. Step 2: Convert to fraction form
    70,102.72/96,730.34 = 41,418.42/x
  3. Step 3: Cross multiply
    70,102.72x = 96,730.34 × 41,418.42
  4. Step 4: Simplify right side
    70,102.72x = 4,006,417,279.03
  5. Step 5: Solve for x
    x = 4,006,417,279.03/70,102.72
  6. Step 6: Final answer
    x = 57,150.67

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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.