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Finding the Fourth Proportional to 30,523.76, 45,789.26 and 10,798.28

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Solution

The fourth proportional to 30,523.76, 45,789.26 and 10,798.28 is: 16,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,523.76 : 45,789.26 = 10,798.28 : x
  2. Step 2: Convert to fraction form
    30,523.76/45,789.26 = 10,798.28/x
  3. Step 3: Cross multiply
    30,523.76x = 45,789.26 × 10,798.28
  4. Step 4: Simplify right side
    30,523.76x = 494,445,250.47
  5. Step 5: Solve for x
    x = 494,445,250.47/30,523.76
  6. Step 6: Final answer
    x = 16,198.70

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1.5x scale

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.