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Finding the Fourth Proportional to 109,658.24, 164,409.48 and 47,346.56

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Solution

The fourth proportional to 109,658.24, 164,409.48 and 47,346.56 is: 70,986.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,658.24 : 164,409.48 = 47,346.56 : x
  2. Step 2: Convert to fraction form
    109,658.24/164,409.48 = 47,346.56/x
  3. Step 3: Cross multiply
    109,658.24x = 164,409.48 × 47,346.56
  4. Step 4: Simplify right side
    109,658.24x = 7,784,223,309.39
  5. Step 5: Solve for x
    x = 7,784,223,309.39/109,658.24
  6. Step 6: Final answer
    x = 70,986.21

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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.