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Finding the Fourth Proportional to 32,959.94, 49,441.25 and 9,586.37

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Solution

The fourth proportional to 32,959.94, 49,441.25 and 9,586.37 is: 14,379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,959.94 : 49,441.25 = 9,586.37 : x
  2. Step 2: Convert to fraction form
    32,959.94/49,441.25 = 9,586.37/x
  3. Step 3: Cross multiply
    32,959.94x = 49,441.25 × 9,586.37
  4. Step 4: Simplify right side
    32,959.94x = 473,962,263.33
  5. Step 5: Solve for x
    x = 473,962,263.33/32,959.94
  6. Step 6: Final answer
    x = 14,379.95

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