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Finding the Fourth Proportional to 82,083.29, 113,317.74 and 58,266.86

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Solution

The fourth proportional to 82,083.29, 113,317.74 and 58,266.86 is: 80,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,083.29 : 113,317.74 = 58,266.86 : x
  2. Step 2: Convert to fraction form
    82,083.29/113,317.74 = 58,266.86/x
  3. Step 3: Cross multiply
    82,083.29x = 113,317.74 × 58,266.86
  4. Step 4: Simplify right side
    82,083.29x = 6,602,668,325.51
  5. Step 5: Solve for x
    x = 6,602,668,325.51/82,083.29
  6. Step 6: Final answer
    x = 80,438.65

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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.