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Finding the Fourth Proportional to 84,034.05, 115,971.31 and 46,308.30

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Solution

The fourth proportional to 84,034.05, 115,971.31 and 46,308.30 is: 63,907.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,034.05 : 115,971.31 = 46,308.30 : x
  2. Step 2: Convert to fraction form
    84,034.05/115,971.31 = 46,308.30/x
  3. Step 3: Cross multiply
    84,034.05x = 115,971.31 × 46,308.30
  4. Step 4: Simplify right side
    84,034.05x = 5,370,433,635.02
  5. Step 5: Solve for x
    x = 5,370,433,635.02/84,034.05
  6. Step 6: Final answer
    x = 63,907.83

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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.