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Finding the Fourth Proportional to 83,993.81, 115,911.47 and 46,268.06

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Solution

The fourth proportional to 83,993.81, 115,911.47 and 46,268.06 is: 63,849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,993.81 : 115,911.47 = 46,268.06 : x
  2. Step 2: Convert to fraction form
    83,993.81/115,911.47 = 46,268.06/x
  3. Step 3: Cross multiply
    83,993.81x = 115,911.47 × 46,268.06
  4. Step 4: Simplify right side
    83,993.81x = 5,362,998,907.09
  5. Step 5: Solve for x
    x = 5,362,998,907.09/83,993.81
  6. Step 6: Final answer
    x = 63,849.93

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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.