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Finding the Fourth Proportional to 84,034.14, 115,966.56 and 46,308.42

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Solution

The fourth proportional to 84,034.14, 115,966.56 and 46,308.42 is: 63,905.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,034.14 : 115,966.56 = 46,308.42 : x
  2. Step 2: Convert to fraction form
    84,034.14/115,966.56 = 46,308.42/x
  3. Step 3: Cross multiply
    84,034.14x = 115,966.56 × 46,308.42
  4. Step 4: Simplify right side
    84,034.14x = 5,370,228,166.44
  5. Step 5: Solve for x
    x = 5,370,228,166.44/84,034.14
  6. Step 6: Final answer
    x = 63,905.31

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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.