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Finding the Fourth Proportional to 83,318.99, 114,977.34 and 47,520.52

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Solution

The fourth proportional to 83,318.99, 114,977.34 and 47,520.52 is: 65,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,318.99 : 114,977.34 = 47,520.52 : x
  2. Step 2: Convert to fraction form
    83,318.99/114,977.34 = 47,520.52/x
  3. Step 3: Cross multiply
    83,318.99x = 114,977.34 × 47,520.52
  4. Step 4: Simplify right side
    83,318.99x = 5,463,782,697.57
  5. Step 5: Solve for x
    x = 5,463,782,697.57/83,318.99
  6. Step 6: Final answer
    x = 65,576.68

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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.