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Finding the Fourth Proportional to 32,958.40, 49,427.50 and 11,895.87

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Solution

The fourth proportional to 32,958.40, 49,427.50 and 11,895.87 is: 17,840.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,958.40 : 49,427.50 = 11,895.87 : x
  2. Step 2: Convert to fraction form
    32,958.40/49,427.50 = 11,895.87/x
  3. Step 3: Cross multiply
    32,958.40x = 49,427.50 × 11,895.87
  4. Step 4: Simplify right side
    32,958.40x = 587,983,084.69
  5. Step 5: Solve for x
    x = 587,983,084.69/32,958.40
  6. Step 6: Final answer
    x = 17,840.16

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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.