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Finding the Fourth Proportional to 31,652.94, 47,484.69 and 14,122.11

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Solution

The fourth proportional to 31,652.94, 47,484.69 and 14,122.11 is: 21,185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,652.94 : 47,484.69 = 14,122.11 : x
  2. Step 2: Convert to fraction form
    31,652.94/47,484.69 = 14,122.11/x
  3. Step 3: Cross multiply
    31,652.94x = 47,484.69 × 14,122.11
  4. Step 4: Simplify right side
    31,652.94x = 670,584,015.50
  5. Step 5: Solve for x
    x = 670,584,015.50/31,652.94
  6. Step 6: Final answer
    x = 21,185.52

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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.