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Finding the Fourth Proportional to 86,851.84, 119,847.06 and 48,609.11

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Solution

The fourth proportional to 86,851.84, 119,847.06 and 48,609.11 is: 67,075.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,851.84 : 119,847.06 = 48,609.11 : x
  2. Step 2: Convert to fraction form
    86,851.84/119,847.06 = 48,609.11/x
  3. Step 3: Cross multiply
    86,851.84x = 119,847.06 × 48,609.11
  4. Step 4: Simplify right side
    86,851.84x = 5,825,658,922.72
  5. Step 5: Solve for x
    x = 5,825,658,922.72/86,851.84
  6. Step 6: Final answer
    x = 67,075.83

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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.