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Finding the Fourth Proportional to 86,523, 119,401.74 and 46,779

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Solution

The fourth proportional to 86,523, 119,401.74 and 46,779 is: 64,555.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,523 : 119,401.74 = 46,779 : x
  2. Step 2: Convert to fraction form
    86,523/119,401.74 = 46,779/x
  3. Step 3: Cross multiply
    86,523x = 119,401.74 × 46,779
  4. Step 4: Simplify right side
    86,523x = 5,585,493,995.46
  5. Step 5: Solve for x
    x = 5,585,493,995.46/86,523
  6. Step 6: Final answer
    x = 64,555.02

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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.