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Finding the Fourth Proportional to 53,449.62, 73,768.30 and 30,784.20

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Solution

The fourth proportional to 53,449.62, 73,768.30 and 30,784.20 is: 42,486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,449.62 : 73,768.30 = 30,784.20 : x
  2. Step 2: Convert to fraction form
    53,449.62/73,768.30 = 30,784.20/x
  3. Step 3: Cross multiply
    53,449.62x = 73,768.30 × 30,784.20
  4. Step 4: Simplify right side
    53,449.62x = 2,270,898,335.38
  5. Step 5: Solve for x
    x = 2,270,898,335.38/53,449.62
  6. Step 6: Final answer
    x = 42,486.71

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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.