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Finding the Fourth Proportional to 83,282.30, 114,929.56 and 45,556.46

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Solution

The fourth proportional to 83,282.30, 114,929.56 and 45,556.46 is: 62,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,282.30 : 114,929.56 = 45,556.46 : x
  2. Step 2: Convert to fraction form
    83,282.30/114,929.56 = 45,556.46/x
  3. Step 3: Cross multiply
    83,282.30x = 114,929.56 × 45,556.46
  4. Step 4: Simplify right side
    83,282.30x = 5,235,783,214.42
  5. Step 5: Solve for x
    x = 5,235,783,214.42/83,282.30
  6. Step 6: Final answer
    x = 62,867.90

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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.