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Finding the Fourth Proportional to 82,415.02, 113,735.46 and 46,610.86

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Solution

The fourth proportional to 82,415.02, 113,735.46 and 46,610.86 is: 64,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,415.02 : 113,735.46 = 46,610.86 : x
  2. Step 2: Convert to fraction form
    82,415.02/113,735.46 = 46,610.86/x
  3. Step 3: Cross multiply
    82,415.02x = 113,735.46 × 46,610.86
  4. Step 4: Simplify right side
    82,415.02x = 5,301,307,603.10
  5. Step 5: Solve for x
    x = 5,301,307,603.10/82,415.02
  6. Step 6: Final answer
    x = 64,324.53

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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.