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Finding the Fourth Proportional to 86,767, 119,738.54 and 47,023

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Solution

The fourth proportional to 86,767, 119,738.54 and 47,023 is: 64,891.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,767 : 119,738.54 = 47,023 : x
  2. Step 2: Convert to fraction form
    86,767/119,738.54 = 47,023/x
  3. Step 3: Cross multiply
    86,767x = 119,738.54 × 47,023
  4. Step 4: Simplify right side
    86,767x = 5,630,465,366.42
  5. Step 5: Solve for x
    x = 5,630,465,366.42/86,767
  6. Step 6: Final answer
    x = 64,891.78

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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.