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Finding the Fourth Proportional to 84,002.25, 115,923.11 and 46,277.31

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Solution

The fourth proportional to 84,002.25, 115,923.11 and 46,277.31 is: 63,862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,002.25 : 115,923.11 = 46,277.31 : x
  2. Step 2: Convert to fraction form
    84,002.25/115,923.11 = 46,277.31/x
  3. Step 3: Cross multiply
    84,002.25x = 115,923.11 × 46,277.31
  4. Step 4: Simplify right side
    84,002.25x = 5,364,609,466.25
  5. Step 5: Solve for x
    x = 5,364,609,466.25/84,002.25
  6. Step 6: Final answer
    x = 63,862.69

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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.