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Finding the Fourth Proportional to 86,153.44, 129,205.20 and 33,551.20

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Solution

The fourth proportional to 86,153.44, 129,205.20 and 33,551.20 is: 50,317.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,153.44 : 129,205.20 = 33,551.20 : x
  2. Step 2: Convert to fraction form
    86,153.44/129,205.20 = 33,551.20/x
  3. Step 3: Cross multiply
    86,153.44x = 129,205.20 × 33,551.20
  4. Step 4: Simplify right side
    86,153.44x = 4,334,989,506.24
  5. Step 5: Solve for x
    x = 4,334,989,506.24/86,153.44
  6. Step 6: Final answer
    x = 50,317.08

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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.