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Finding the Fourth Proportional to 82,842.52, 114,223.74 and 67,679.32

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Solution

The fourth proportional to 82,842.52, 114,223.74 and 67,679.32 is: 93,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,842.52 : 114,223.74 = 67,679.32 : x
  2. Step 2: Convert to fraction form
    82,842.52/114,223.74 = 67,679.32/x
  3. Step 3: Cross multiply
    82,842.52x = 114,223.74 × 67,679.32
  4. Step 4: Simplify right side
    82,842.52x = 7,730,585,051.06
  5. Step 5: Solve for x
    x = 7,730,585,051.06/82,842.52
  6. Step 6: Final answer
    x = 93,316.63

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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.