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Finding the Fourth Proportional to 109,649.05, 164,479.40 and 34,775.10

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Solution

The fourth proportional to 109,649.05, 164,479.40 and 34,775.10 is: 52,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,649.05 : 164,479.40 = 34,775.10 : x
  2. Step 2: Convert to fraction form
    109,649.05/164,479.40 = 34,775.10/x
  3. Step 3: Cross multiply
    109,649.05x = 164,479.40 × 34,775.10
  4. Step 4: Simplify right side
    109,649.05x = 5,719,787,582.94
  5. Step 5: Solve for x
    x = 5,719,787,582.94/109,649.05
  6. Step 6: Final answer
    x = 52,164.50

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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.