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Finding the Fourth Proportional to 83,232.76, 114,861.15 and 44,992.31

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Solution

The fourth proportional to 83,232.76, 114,861.15 and 44,992.31 is: 62,089.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,232.76 : 114,861.15 = 44,992.31 : x
  2. Step 2: Convert to fraction form
    83,232.76/114,861.15 = 44,992.31/x
  3. Step 3: Cross multiply
    83,232.76x = 114,861.15 × 44,992.31
  4. Step 4: Simplify right side
    83,232.76x = 5,167,867,893.45
  5. Step 5: Solve for x
    x = 5,167,867,893.45/83,232.76
  6. Step 6: Final answer
    x = 62,089.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.