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Finding the Fourth Proportional to 82,217.36, 113,341.36 and 53,873.84

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Solution

The fourth proportional to 82,217.36, 113,341.36 and 53,873.84 is: 74,268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,217.36 : 113,341.36 = 53,873.84 : x
  2. Step 2: Convert to fraction form
    82,217.36/113,341.36 = 53,873.84/x
  3. Step 3: Cross multiply
    82,217.36x = 113,341.36 × 53,873.84
  4. Step 4: Simplify right side
    82,217.36x = 6,106,134,294.02
  5. Step 5: Solve for x
    x = 6,106,134,294.02/82,217.36
  6. Step 6: Final answer
    x = 74,268.19

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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.