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Finding the Fourth Proportional to 82,420.16, 113,745.56 and 46,610.33

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Solution

The fourth proportional to 82,420.16, 113,745.56 and 46,610.33 is: 64,325.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,420.16 : 113,745.56 = 46,610.33 : x
  2. Step 2: Convert to fraction form
    82,420.16/113,745.56 = 46,610.33/x
  3. Step 3: Cross multiply
    82,420.16x = 113,745.56 × 46,610.33
  4. Step 4: Simplify right side
    82,420.16x = 5,301,717,285.86
  5. Step 5: Solve for x
    x = 5,301,717,285.86/82,420.16
  6. Step 6: Final answer
    x = 64,325.50

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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.