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Finding the Fourth Proportional to 31,652.48, 47,485.14 and 14,122.32

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Solution

The fourth proportional to 31,652.48, 47,485.14 and 14,122.32 is: 21,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,652.48 : 47,485.14 = 14,122.32 : x
  2. Step 2: Convert to fraction form
    31,652.48/47,485.14 = 14,122.32/x
  3. Step 3: Cross multiply
    31,652.48x = 47,485.14 × 14,122.32
  4. Step 4: Simplify right side
    31,652.48x = 670,600,342.32
  5. Step 5: Solve for x
    x = 670,600,342.32/31,652.48
  6. Step 6: Final answer
    x = 21,186.34

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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.