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Finding the Fourth Proportional to 83,289.68, 114,942.53 and 45,563.93

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Solution

The fourth proportional to 83,289.68, 114,942.53 and 45,563.93 is: 62,879.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,289.68 : 114,942.53 = 45,563.93 : x
  2. Step 2: Convert to fraction form
    83,289.68/114,942.53 = 45,563.93/x
  3. Step 3: Cross multiply
    83,289.68x = 114,942.53 × 45,563.93
  4. Step 4: Simplify right side
    83,289.68x = 5,237,233,390.94
  5. Step 5: Solve for x
    x = 5,237,233,390.94/83,289.68
  6. Step 6: Final answer
    x = 62,879.74

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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.