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Finding the Fourth Proportional to 83,326, 114,990.96 and 45,599.44

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Solution

The fourth proportional to 83,326, 114,990.96 and 45,599.44 is: 62,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,326 : 114,990.96 = 45,599.44 : x
  2. Step 2: Convert to fraction form
    83,326/114,990.96 = 45,599.44/x
  3. Step 3: Cross multiply
    83,326x = 114,990.96 × 45,599.44
  4. Step 4: Simplify right side
    83,326x = 5,243,523,381.06
  5. Step 5: Solve for x
    x = 5,243,523,381.06/83,326
  6. Step 6: Final answer
    x = 62,927.82

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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.