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Finding the Fourth Proportional to 82,846.99, 114,330.18 and 47,037.97

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Solution

The fourth proportional to 82,846.99, 114,330.18 and 47,037.97 is: 64,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,846.99 : 114,330.18 = 47,037.97 : x
  2. Step 2: Convert to fraction form
    82,846.99/114,330.18 = 47,037.97/x
  3. Step 3: Cross multiply
    82,846.99x = 114,330.18 × 47,037.97
  4. Step 4: Simplify right side
    82,846.99x = 5,377,859,576.93
  5. Step 5: Solve for x
    x = 5,377,859,576.93/82,846.99
  6. Step 6: Final answer
    x = 64,913.16

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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.