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Finding the Fourth Proportional to 82,794.42, 114,271.22 and 48,800.95

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Solution

The fourth proportional to 82,794.42, 114,271.22 and 48,800.95 is: 67,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,794.42 : 114,271.22 = 48,800.95 : x
  2. Step 2: Convert to fraction form
    82,794.42/114,271.22 = 48,800.95/x
  3. Step 3: Cross multiply
    82,794.42x = 114,271.22 × 48,800.95
  4. Step 4: Simplify right side
    82,794.42x = 5,576,543,929.98
  5. Step 5: Solve for x
    x = 5,576,543,929.98/82,794.42
  6. Step 6: Final answer
    x = 67,354.10

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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.