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Finding the Fourth Proportional to 83,083.96, 114,652.74 and 45,358.36

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Solution

The fourth proportional to 83,083.96, 114,652.74 and 45,358.36 is: 62,592.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,083.96 : 114,652.74 = 45,358.36 : x
  2. Step 2: Convert to fraction form
    83,083.96/114,652.74 = 45,358.36/x
  3. Step 3: Cross multiply
    83,083.96x = 114,652.74 × 45,358.36
  4. Step 4: Simplify right side
    83,083.96x = 5,200,460,255.91
  5. Step 5: Solve for x
    x = 5,200,460,255.91/83,083.96
  6. Step 6: Final answer
    x = 62,592.83

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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.