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Finding the Fourth Proportional to 83,745.70, 115,567.75 and 46,019.14

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Solution

The fourth proportional to 83,745.70, 115,567.75 and 46,019.14 is: 63,505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,745.70 : 115,567.75 = 46,019.14 : x
  2. Step 2: Convert to fraction form
    83,745.70/115,567.75 = 46,019.14/x
  3. Step 3: Cross multiply
    83,745.70x = 115,567.75 × 46,019.14
  4. Step 4: Simplify right side
    83,745.70x = 5,318,328,466.74
  5. Step 5: Solve for x
    x = 5,318,328,466.74/83,745.70
  6. Step 6: Final answer
    x = 63,505.69

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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.