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Finding the Fourth Proportional to 54,698.59, 75,509.26 and 32,034.43

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Solution

The fourth proportional to 54,698.59, 75,509.26 and 32,034.43 is: 44,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,698.59 : 75,509.26 = 32,034.43 : x
  2. Step 2: Convert to fraction form
    54,698.59/75,509.26 = 32,034.43/x
  3. Step 3: Cross multiply
    54,698.59x = 75,509.26 × 32,034.43
  4. Step 4: Simplify right side
    54,698.59x = 2,418,895,943.65
  5. Step 5: Solve for x
    x = 2,418,895,943.65/54,698.59
  6. Step 6: Final answer
    x = 44,222.27

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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.