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Finding the Fourth Proportional to 86,467.80, 129,629.70 and 36,586.20

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Solution

The fourth proportional to 86,467.80, 129,629.70 and 36,586.20 is: 54,848.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,467.80 : 129,629.70 = 36,586.20 : x
  2. Step 2: Convert to fraction form
    86,467.80/129,629.70 = 36,586.20/x
  3. Step 3: Cross multiply
    86,467.80x = 129,629.70 × 36,586.20
  4. Step 4: Simplify right side
    86,467.80x = 4,742,658,130.14
  5. Step 5: Solve for x
    x = 4,742,658,130.14/86,467.80
  6. Step 6: Final answer
    x = 54,848.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.