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Finding the Fourth Proportional to 54,803.16, 75,626.83 and 30,932.06

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Solution

The fourth proportional to 54,803.16, 75,626.83 and 30,932.06 is: 42,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,803.16 : 75,626.83 = 30,932.06 : x
  2. Step 2: Convert to fraction form
    54,803.16/75,626.83 = 30,932.06/x
  3. Step 3: Cross multiply
    54,803.16x = 75,626.83 × 30,932.06
  4. Step 4: Simplify right side
    54,803.16x = 2,339,293,643.17
  5. Step 5: Solve for x
    x = 2,339,293,643.17/54,803.16
  6. Step 6: Final answer
    x = 42,685.38

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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.