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Finding the Fourth Proportional to 55,967.72, 77,235.38 and 30,817

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Solution

The fourth proportional to 55,967.72, 77,235.38 and 30,817 is: 42,527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,967.72 : 77,235.38 = 30,817 : x
  2. Step 2: Convert to fraction form
    55,967.72/77,235.38 = 30,817/x
  3. Step 3: Cross multiply
    55,967.72x = 77,235.38 × 30,817
  4. Step 4: Simplify right side
    55,967.72x = 2,380,162,705.46
  5. Step 5: Solve for x
    x = 2,380,162,705.46/55,967.72
  6. Step 6: Final answer
    x = 42,527.42

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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.