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Finding the Fourth Proportional to 109,363.70, 164,025.30 and 30,461.60

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Solution

The fourth proportional to 109,363.70, 164,025.30 and 30,461.60 is: 45,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,363.70 : 164,025.30 = 30,461.60 : x
  2. Step 2: Convert to fraction form
    109,363.70/164,025.30 = 30,461.60/x
  3. Step 3: Cross multiply
    109,363.70x = 164,025.30 × 30,461.60
  4. Step 4: Simplify right side
    109,363.70x = 4,996,473,078.48
  5. Step 5: Solve for x
    x = 4,996,473,078.48/109,363.70
  6. Step 6: Final answer
    x = 45,686.76

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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.