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Finding the Fourth Proportional to 86,153.16, 129,176.80 and 33,501.26

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Solution

The fourth proportional to 86,153.16, 129,176.80 and 33,501.26 is: 50,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,153.16 : 129,176.80 = 33,501.26 : x
  2. Step 2: Convert to fraction form
    86,153.16/129,176.80 = 33,501.26/x
  3. Step 3: Cross multiply
    86,153.16x = 129,176.80 × 33,501.26
  4. Step 4: Simplify right side
    86,153.16x = 4,327,585,562.77
  5. Step 5: Solve for x
    x = 4,327,585,562.77/86,153.16
  6. Step 6: Final answer
    x = 50,231.30

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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.