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Finding the Fourth Proportional to 31,873.02, 47,793.06 and 14,327.88

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Solution

The fourth proportional to 31,873.02, 47,793.06 and 14,327.88 is: 21,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,873.02 : 47,793.06 = 14,327.88 : x
  2. Step 2: Convert to fraction form
    31,873.02/47,793.06 = 14,327.88/x
  3. Step 3: Cross multiply
    31,873.02x = 47,793.06 × 14,327.88
  4. Step 4: Simplify right side
    31,873.02x = 684,773,228.51
  5. Step 5: Solve for x
    x = 684,773,228.51/31,873.02
  6. Step 6: Final answer
    x = 21,484.42

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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.