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Finding the Fourth Proportional to 55,821.38, 77,033.50 and 30,670.88

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Solution

The fourth proportional to 55,821.38, 77,033.50 and 30,670.88 is: 42,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,821.38 : 77,033.50 = 30,670.88 : x
  2. Step 2: Convert to fraction form
    55,821.38/77,033.50 = 30,670.88/x
  3. Step 3: Cross multiply
    55,821.38x = 77,033.50 × 30,670.88
  4. Step 4: Simplify right side
    55,821.38x = 2,362,684,772.64
  5. Step 5: Solve for x
    x = 2,362,684,772.64/55,821.38
  6. Step 6: Final answer
    x = 42,325.81

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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.