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Finding the Fourth Proportional to 109,046.76, 163,593.18 and 35,169

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Solution

The fourth proportional to 109,046.76, 163,593.18 and 35,169 is: 52,760.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,046.76 : 163,593.18 = 35,169 : x
  2. Step 2: Convert to fraction form
    109,046.76/163,593.18 = 35,169/x
  3. Step 3: Cross multiply
    109,046.76x = 163,593.18 × 35,169
  4. Step 4: Simplify right side
    109,046.76x = 5,753,408,547.42
  5. Step 5: Solve for x
    x = 5,753,408,547.42/109,046.76
  6. Step 6: Final answer
    x = 52,760.93

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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.