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Finding the Fourth Proportional to 31,480.51, 47,189.16 and 14,625.34

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Solution

The fourth proportional to 31,480.51, 47,189.16 and 14,625.34 is: 21,923.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,480.51 : 47,189.16 = 14,625.34 : x
  2. Step 2: Convert to fraction form
    31,480.51/47,189.16 = 14,625.34/x
  3. Step 3: Cross multiply
    31,480.51x = 47,189.16 × 14,625.34
  4. Step 4: Simplify right side
    31,480.51x = 690,157,509.31
  5. Step 5: Solve for x
    x = 690,157,509.31/31,480.51
  6. Step 6: Final answer
    x = 21,923.33

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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.