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Finding the Fourth Proportional to 84,842.34, 117,083.39 and 46,602.78

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Solution

The fourth proportional to 84,842.34, 117,083.39 and 46,602.78 is: 64,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,842.34 : 117,083.39 = 46,602.78 : x
  2. Step 2: Convert to fraction form
    84,842.34/117,083.39 = 46,602.78/x
  3. Step 3: Cross multiply
    84,842.34x = 117,083.39 × 46,602.78
  4. Step 4: Simplify right side
    84,842.34x = 5,456,410,793.75
  5. Step 5: Solve for x
    x = 5,456,410,793.75/84,842.34
  6. Step 6: Final answer
    x = 64,312.36

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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.