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Finding the Fourth Proportional to 82,874.24, 114,363.60 and 47,063.60

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Solution

The fourth proportional to 82,874.24, 114,363.60 and 47,063.60 is: 64,946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,874.24 : 114,363.60 = 47,063.60 : x
  2. Step 2: Convert to fraction form
    82,874.24/114,363.60 = 47,063.60/x
  3. Step 3: Cross multiply
    82,874.24x = 114,363.60 × 47,063.60
  4. Step 4: Simplify right side
    82,874.24x = 5,382,362,724.96
  5. Step 5: Solve for x
    x = 5,382,362,724.96/82,874.24
  6. Step 6: Final answer
    x = 64,946.15

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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.