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Finding the Fourth Proportional to 55,992.32, 77,269.92 and 30,842

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Solution

The fourth proportional to 55,992.32, 77,269.92 and 30,842 is: 42,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,992.32 : 77,269.92 = 30,842 : x
  2. Step 2: Convert to fraction form
    55,992.32/77,269.92 = 30,842/x
  3. Step 3: Cross multiply
    55,992.32x = 77,269.92 × 30,842
  4. Step 4: Simplify right side
    55,992.32x = 2,383,158,872.64
  5. Step 5: Solve for x
    x = 2,383,158,872.64/55,992.32
  6. Step 6: Final answer
    x = 42,562.25

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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.