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Finding the Fourth Proportional to 84,111.41, 116,076.34 and 48,308.60

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Solution

The fourth proportional to 84,111.41, 116,076.34 and 48,308.60 is: 66,667.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,111.41 : 116,076.34 = 48,308.60 : x
  2. Step 2: Convert to fraction form
    84,111.41/116,076.34 = 48,308.60/x
  3. Step 3: Cross multiply
    84,111.41x = 116,076.34 × 48,308.60
  4. Step 4: Simplify right side
    84,111.41x = 5,607,485,829.10
  5. Step 5: Solve for x
    x = 5,607,485,829.10/84,111.41
  6. Step 6: Final answer
    x = 66,667.36

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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.