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Finding the Fourth Proportional to 117,682.48, 176,468.27 and 42,749.80

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Solution

The fourth proportional to 117,682.48, 176,468.27 and 42,749.80 is: 64,104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,682.48 : 176,468.27 = 42,749.80 : x
  2. Step 2: Convert to fraction form
    117,682.48/176,468.27 = 42,749.80/x
  3. Step 3: Cross multiply
    117,682.48x = 176,468.27 × 42,749.80
  4. Step 4: Simplify right side
    117,682.48x = 7,543,983,035.10
  5. Step 5: Solve for x
    x = 7,543,983,035.10/117,682.48
  6. Step 6: Final answer
    x = 64,104.56

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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.