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Finding the Fourth Proportional to 86,182.98, 129,239.09 and 32,894.37

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Solution

The fourth proportional to 86,182.98, 129,239.09 and 32,894.37 is: 49,328.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,182.98 : 129,239.09 = 32,894.37 : x
  2. Step 2: Convert to fraction form
    86,182.98/129,239.09 = 32,894.37/x
  3. Step 3: Cross multiply
    86,182.98x = 129,239.09 × 32,894.37
  4. Step 4: Simplify right side
    86,182.98x = 4,251,238,280.45
  5. Step 5: Solve for x
    x = 4,251,238,280.45/86,182.98
  6. Step 6: Final answer
    x = 49,328.05

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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.