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Finding the Fourth Proportional to 109,643.54, 164,471.15 and 34,769.60

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Solution

The fourth proportional to 109,643.54, 164,471.15 and 34,769.60 is: 52,156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,643.54 : 164,471.15 = 34,769.60 : x
  2. Step 2: Convert to fraction form
    109,643.54/164,471.15 = 34,769.60/x
  3. Step 3: Cross multiply
    109,643.54x = 164,471.15 × 34,769.60
  4. Step 4: Simplify right side
    109,643.54x = 5,718,596,097.04
  5. Step 5: Solve for x
    x = 5,718,596,097.04/109,643.54
  6. Step 6: Final answer
    x = 52,156.25

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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.