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Finding the Fourth Proportional to 32,837, 49,222.70 and 30,365.72

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Solution

The fourth proportional to 32,837, 49,222.70 and 30,365.72 is: 45,518.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,837 : 49,222.70 = 30,365.72 : x
  2. Step 2: Convert to fraction form
    32,837/49,222.70 = 30,365.72/x
  3. Step 3: Cross multiply
    32,837x = 49,222.70 × 30,365.72
  4. Step 4: Simplify right side
    32,837x = 1,494,682,725.84
  5. Step 5: Solve for x
    x = 1,494,682,725.84/32,837
  6. Step 6: Final answer
    x = 45,518.25

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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.