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Finding the Fourth Proportional to 54,950.40, 75,830.40 and 36,086.40

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Solution

The fourth proportional to 54,950.40, 75,830.40 and 36,086.40 is: 49,798.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,950.40 : 75,830.40 = 36,086.40 : x
  2. Step 2: Convert to fraction form
    54,950.40/75,830.40 = 36,086.40/x
  3. Step 3: Cross multiply
    54,950.40x = 75,830.40 × 36,086.40
  4. Step 4: Simplify right side
    54,950.40x = 2,736,446,146.56
  5. Step 5: Solve for x
    x = 2,736,446,146.56/54,950.40
  6. Step 6: Final answer
    x = 49,798.48

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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.