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Finding the Fourth Proportional to 82,606.23, 114,002.24 and 46,796.54

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Solution

The fourth proportional to 82,606.23, 114,002.24 and 46,796.54 is: 64,582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,606.23 : 114,002.24 = 46,796.54 : x
  2. Step 2: Convert to fraction form
    82,606.23/114,002.24 = 46,796.54/x
  3. Step 3: Cross multiply
    82,606.23x = 114,002.24 × 46,796.54
  4. Step 4: Simplify right side
    82,606.23x = 5,334,909,580.26
  5. Step 5: Solve for x
    x = 5,334,909,580.26/82,606.23
  6. Step 6: Final answer
    x = 64,582.41

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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.