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Finding the Fourth Proportional to 54,945.64, 75,835.74 and 35,849.08

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Solution

The fourth proportional to 54,945.64, 75,835.74 and 35,849.08 is: 49,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,945.64 : 75,835.74 = 35,849.08 : x
  2. Step 2: Convert to fraction form
    54,945.64/75,835.74 = 35,849.08/x
  3. Step 3: Cross multiply
    54,945.64x = 75,835.74 × 35,849.08
  4. Step 4: Simplify right side
    54,945.64x = 2,718,641,510.12
  5. Step 5: Solve for x
    x = 2,718,641,510.12/54,945.64
  6. Step 6: Final answer
    x = 49,478.75

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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.