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Finding the Fourth Proportional to 33,064, 45,628.32 and 18,160.96

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Solution

The fourth proportional to 33,064, 45,628.32 and 18,160.96 is: 25,062.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,064 : 45,628.32 = 18,160.96 : x
  2. Step 2: Convert to fraction form
    33,064/45,628.32 = 18,160.96/x
  3. Step 3: Cross multiply
    33,064x = 45,628.32 × 18,160.96
  4. Step 4: Simplify right side
    33,064x = 828,654,094.39
  5. Step 5: Solve for x
    x = 828,654,094.39/33,064
  6. Step 6: Final answer
    x = 25,062.12

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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.