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Finding the Fourth Proportional to 109,302.76, 163,977.18 and 35,425

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Solution

The fourth proportional to 109,302.76, 163,977.18 and 35,425 is: 53,144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,302.76 : 163,977.18 = 35,425 : x
  2. Step 2: Convert to fraction form
    109,302.76/163,977.18 = 35,425/x
  3. Step 3: Cross multiply
    109,302.76x = 163,977.18 × 35,425
  4. Step 4: Simplify right side
    109,302.76x = 5,808,891,601.50
  5. Step 5: Solve for x
    x = 5,808,891,601.50/109,302.76
  6. Step 6: Final answer
    x = 53,144.97

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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.