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Finding the Fourth Proportional to 84,014.24, 115,942.32 and 46,289.84

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Solution

The fourth proportional to 84,014.24, 115,942.32 and 46,289.84 is: 63,881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,014.24 : 115,942.32 = 46,289.84 : x
  2. Step 2: Convert to fraction form
    84,014.24/115,942.32 = 46,289.84/x
  3. Step 3: Cross multiply
    84,014.24x = 115,942.32 × 46,289.84
  4. Step 4: Simplify right side
    84,014.24x = 5,366,951,442.03
  5. Step 5: Solve for x
    x = 5,366,951,442.03/84,014.24
  6. Step 6: Final answer
    x = 63,881.45

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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.