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Finding the Fourth Proportional to 82,617.79, 114,009.93 and 48,618.45

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Solution

The fourth proportional to 82,617.79, 114,009.93 and 48,618.45 is: 67,091.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,617.79 : 114,009.93 = 48,618.45 : x
  2. Step 2: Convert to fraction form
    82,617.79/114,009.93 = 48,618.45/x
  3. Step 3: Cross multiply
    82,617.79x = 114,009.93 × 48,618.45
  4. Step 4: Simplify right side
    82,617.79x = 5,542,986,081.21
  5. Step 5: Solve for x
    x = 5,542,986,081.21/82,617.79
  6. Step 6: Final answer
    x = 67,091.92

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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.