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Finding the Fourth Proportional to 31,801, 47,675.42 and 14,019.06

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Solution

The fourth proportional to 31,801, 47,675.42 and 14,019.06 is: 21,017.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,801 : 47,675.42 = 14,019.06 : x
  2. Step 2: Convert to fraction form
    31,801/47,675.42 = 14,019.06/x
  3. Step 3: Cross multiply
    31,801x = 47,675.42 × 14,019.06
  4. Step 4: Simplify right side
    31,801x = 668,364,573.51
  5. Step 5: Solve for x
    x = 668,364,573.51/31,801
  6. Step 6: Final answer
    x = 21,017.09

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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.