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Finding the Fourth Proportional to 53,088.60, 73,249.02 and 34,203

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Solution

The fourth proportional to 53,088.60, 73,249.02 and 34,203 is: 47,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,088.60 : 73,249.02 = 34,203 : x
  2. Step 2: Convert to fraction form
    53,088.60/73,249.02 = 34,203/x
  3. Step 3: Cross multiply
    53,088.60x = 73,249.02 × 34,203
  4. Step 4: Simplify right side
    53,088.60x = 2,505,336,231.06
  5. Step 5: Solve for x
    x = 2,505,336,231.06/53,088.60
  6. Step 6: Final answer
    x = 47,191.60

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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.