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Finding the Fourth Proportional to 109,410.84, 163,973.70 and 49,394.70

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Solution

The fourth proportional to 109,410.84, 163,973.70 and 49,394.70 is: 74,027.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,410.84 : 163,973.70 = 49,394.70 : x
  2. Step 2: Convert to fraction form
    109,410.84/163,973.70 = 49,394.70/x
  3. Step 3: Cross multiply
    109,410.84x = 163,973.70 × 49,394.70
  4. Step 4: Simplify right side
    109,410.84x = 8,099,431,719.39
  5. Step 5: Solve for x
    x = 8,099,431,719.39/109,410.84
  6. Step 6: Final answer
    x = 74,027.69

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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.