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Finding the Fourth Proportional to 82,673.12, 114,113.18 and 53,997.16

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Solution

The fourth proportional to 82,673.12, 114,113.18 and 53,997.16 is: 74,531.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,673.12 : 114,113.18 = 53,997.16 : x
  2. Step 2: Convert to fraction form
    82,673.12/114,113.18 = 53,997.16/x
  3. Step 3: Cross multiply
    82,673.12x = 114,113.18 × 53,997.16
  4. Step 4: Simplify right side
    82,673.12x = 6,161,787,218.29
  5. Step 5: Solve for x
    x = 6,161,787,218.29/82,673.12
  6. Step 6: Final answer
    x = 74,531.93

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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.