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Finding the Fourth Proportional to 109,518.40, 164,265.45 and 30,640.60

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Solution

The fourth proportional to 109,518.40, 164,265.45 and 30,640.60 is: 45,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,518.40 : 164,265.45 = 30,640.60 : x
  2. Step 2: Convert to fraction form
    109,518.40/164,265.45 = 30,640.60/x
  3. Step 3: Cross multiply
    109,518.40x = 164,265.45 × 30,640.60
  4. Step 4: Simplify right side
    109,518.40x = 5,033,191,947.27
  5. Step 5: Solve for x
    x = 5,033,191,947.27/109,518.40
  6. Step 6: Final answer
    x = 45,957.50

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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.