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Finding the Fourth Proportional to 83,323, 114,986.82 and 45,596.44

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Solution

The fourth proportional to 83,323, 114,986.82 and 45,596.44 is: 62,923.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,323 : 114,986.82 = 45,596.44 : x
  2. Step 2: Convert to fraction form
    83,323/114,986.82 = 45,596.44/x
  3. Step 3: Cross multiply
    83,323x = 114,986.82 × 45,596.44
  4. Step 4: Simplify right side
    83,323x = 5,242,989,638.92
  5. Step 5: Solve for x
    x = 5,242,989,638.92/83,323
  6. Step 6: Final answer
    x = 62,923.68

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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.