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Finding the Fourth Proportional to 82,844.60, 114,328.41 and 47,033.42

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Solution

The fourth proportional to 82,844.60, 114,328.41 and 47,033.42 is: 64,907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,844.60 : 114,328.41 = 47,033.42 : x
  2. Step 2: Convert to fraction form
    82,844.60/114,328.41 = 47,033.42/x
  3. Step 3: Cross multiply
    82,844.60x = 114,328.41 × 47,033.42
  4. Step 4: Simplify right side
    82,844.60x = 5,377,256,125.46
  5. Step 5: Solve for x
    x = 5,377,256,125.46/82,844.60
  6. Step 6: Final answer
    x = 64,907.74

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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.