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Finding the Fourth Proportional to 33,061, 45,624.18 and 18,157

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Solution

The fourth proportional to 33,061, 45,624.18 and 18,157 is: 25,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,061 : 45,624.18 = 18,157 : x
  2. Step 2: Convert to fraction form
    33,061/45,624.18 = 18,157/x
  3. Step 3: Cross multiply
    33,061x = 45,624.18 × 18,157
  4. Step 4: Simplify right side
    33,061x = 828,398,236.26
  5. Step 5: Solve for x
    x = 828,398,236.26/33,061
  6. Step 6: Final answer
    x = 25,056.66

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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.