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Finding the Fourth Proportional to 55,940.32, 77,198.16 and 30,790

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Solution

The fourth proportional to 55,940.32, 77,198.16 and 30,790 is: 42,490.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,940.32 : 77,198.16 = 30,790 : x
  2. Step 2: Convert to fraction form
    55,940.32/77,198.16 = 30,790/x
  3. Step 3: Cross multiply
    55,940.32x = 77,198.16 × 30,790
  4. Step 4: Simplify right side
    55,940.32x = 2,376,931,346.40
  5. Step 5: Solve for x
    x = 2,376,931,346.40/55,940.32
  6. Step 6: Final answer
    x = 42,490.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.