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Finding the Fourth Proportional to 38,963.50, 53,769.63 and 22,196.50

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Solution

The fourth proportional to 38,963.50, 53,769.63 and 22,196.50 is: 30,631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,963.50 : 53,769.63 = 22,196.50 : x
  2. Step 2: Convert to fraction form
    38,963.50/53,769.63 = 22,196.50/x
  3. Step 3: Cross multiply
    38,963.50x = 53,769.63 × 22,196.50
  4. Step 4: Simplify right side
    38,963.50x = 1,193,497,592.30
  5. Step 5: Solve for x
    x = 1,193,497,592.30/38,963.50
  6. Step 6: Final answer
    x = 30,631.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.