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Finding the Fourth Proportional to 55,992.30, 77,269.38 and 30,841.80

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Solution

The fourth proportional to 55,992.30, 77,269.38 and 30,841.80 is: 42,561.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,992.30 : 77,269.38 = 30,841.80 : x
  2. Step 2: Convert to fraction form
    55,992.30/77,269.38 = 30,841.80/x
  3. Step 3: Cross multiply
    55,992.30x = 77,269.38 × 30,841.80
  4. Step 4: Simplify right side
    55,992.30x = 2,383,127,270.86
  5. Step 5: Solve for x
    x = 2,383,127,270.86/55,992.30
  6. Step 6: Final answer
    x = 42,561.69

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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.