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Finding the Fourth Proportional to 53,432.70, 80,206.65 and 30,104.70

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Solution

The fourth proportional to 53,432.70, 80,206.65 and 30,104.70 is: 45,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,432.70 : 80,206.65 = 30,104.70 : x
  2. Step 2: Convert to fraction form
    53,432.70/80,206.65 = 30,104.70/x
  3. Step 3: Cross multiply
    53,432.70x = 80,206.65 × 30,104.70
  4. Step 4: Simplify right side
    53,432.70x = 2,414,597,136.26
  5. Step 5: Solve for x
    x = 2,414,597,136.26/53,432.70
  6. Step 6: Final answer
    x = 45,189.50

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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.