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Finding the Fourth Proportional to 82,825.98, 114,325.65 and 47,039.82

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Solution

The fourth proportional to 82,825.98, 114,325.65 and 47,039.82 is: 64,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,825.98 : 114,325.65 = 47,039.82 : x
  2. Step 2: Convert to fraction form
    82,825.98/114,325.65 = 47,039.82/x
  3. Step 3: Cross multiply
    82,825.98x = 114,325.65 × 47,039.82
  4. Step 4: Simplify right side
    82,825.98x = 5,377,857,997.38
  5. Step 5: Solve for x
    x = 5,377,857,997.38/82,825.98
  6. Step 6: Final answer
    x = 64,929.60

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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.