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Finding the Fourth Proportional to 29,925, 41,296.48 and 16,496.47

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Solution

The fourth proportional to 29,925, 41,296.48 and 16,496.47 is: 22,765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,925 : 41,296.48 = 16,496.47 : x
  2. Step 2: Convert to fraction form
    29,925/41,296.48 = 16,496.47/x
  3. Step 3: Cross multiply
    29,925x = 41,296.48 × 16,496.47
  4. Step 4: Simplify right side
    29,925x = 681,246,143.43
  5. Step 5: Solve for x
    x = 681,246,143.43/29,925
  6. Step 6: Final answer
    x = 22,765.12

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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.