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Finding the Fourth Proportional to 109,639.61, 164,525.03 and 47,310.11

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Solution

The fourth proportional to 109,639.61, 164,525.03 and 47,310.11 is: 70,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,639.61 : 164,525.03 = 47,310.11 : x
  2. Step 2: Convert to fraction form
    109,639.61/164,525.03 = 47,310.11/x
  3. Step 3: Cross multiply
    109,639.61x = 164,525.03 × 47,310.11
  4. Step 4: Simplify right side
    109,639.61x = 7,783,697,267.05
  5. Step 5: Solve for x
    x = 7,783,697,267.05/109,639.61
  6. Step 6: Final answer
    x = 70,993.48

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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.