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Finding the Fourth Proportional to 29,819.51, 41,150.24 and 16,207.24

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Solution

The fourth proportional to 29,819.51, 41,150.24 and 16,207.24 is: 22,365.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,819.51 : 41,150.24 = 16,207.24 : x
  2. Step 2: Convert to fraction form
    29,819.51/41,150.24 = 16,207.24/x
  3. Step 3: Cross multiply
    29,819.51x = 41,150.24 × 16,207.24
  4. Step 4: Simplify right side
    29,819.51x = 666,931,631.83
  5. Step 5: Solve for x
    x = 666,931,631.83/29,819.51
  6. Step 6: Final answer
    x = 22,365.61

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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.