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Finding the Fourth Proportional to 109,305.30, 163,955.79 and 35,433.30

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Solution

The fourth proportional to 109,305.30, 163,955.79 and 35,433.30 is: 53,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,305.30 : 163,955.79 = 35,433.30 : x
  2. Step 2: Convert to fraction form
    109,305.30/163,955.79 = 35,433.30/x
  3. Step 3: Cross multiply
    109,305.30x = 163,955.79 × 35,433.30
  4. Step 4: Simplify right side
    109,305.30x = 5,809,494,693.81
  5. Step 5: Solve for x
    x = 5,809,494,693.81/109,305.30
  6. Step 6: Final answer
    x = 53,149.25

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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.