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Finding the Fourth Proportional to 86,766, 119,737.16 and 47,022

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Solution

The fourth proportional to 86,766, 119,737.16 and 47,022 is: 64,890.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,766 : 119,737.16 = 47,022 : x
  2. Step 2: Convert to fraction form
    86,766/119,737.16 = 47,022/x
  3. Step 3: Cross multiply
    86,766x = 119,737.16 × 47,022
  4. Step 4: Simplify right side
    86,766x = 5,630,280,737.52
  5. Step 5: Solve for x
    x = 5,630,280,737.52/86,766
  6. Step 6: Final answer
    x = 64,890.40

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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.