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Finding the Fourth Proportional to 109,407.99, 164,112 and 34,533.99

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Solution

The fourth proportional to 109,407.99, 164,112 and 34,533.99 is: 51,800.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,407.99 : 164,112 = 34,533.99 : x
  2. Step 2: Convert to fraction form
    109,407.99/164,112 = 34,533.99/x
  3. Step 3: Cross multiply
    109,407.99x = 164,112 × 34,533.99
  4. Step 4: Simplify right side
    109,407.99x = 5,667,442,166.88
  5. Step 5: Solve for x
    x = 5,667,442,166.88/109,407.99
  6. Step 6: Final answer
    x = 51,800.99

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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.