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Finding the Fourth Proportional to 29,784.70, 41,103.17 and 16,356.23

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Solution

The fourth proportional to 29,784.70, 41,103.17 and 16,356.23 is: 22,571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784.70 : 41,103.17 = 16,356.23 : x
  2. Step 2: Convert to fraction form
    29,784.70/41,103.17 = 16,356.23/x
  3. Step 3: Cross multiply
    29,784.70x = 41,103.17 × 16,356.23
  4. Step 4: Simplify right side
    29,784.70x = 672,292,820.47
  5. Step 5: Solve for x
    x = 672,292,820.47/29,784.70
  6. Step 6: Final answer
    x = 22,571.75

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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.