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Finding the Fourth Proportional to 31,484.80, 43,426.56 and 20,296

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Solution

The fourth proportional to 31,484.80, 43,426.56 and 20,296 is: 27,994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,484.80 : 43,426.56 = 20,296 : x
  2. Step 2: Convert to fraction form
    31,484.80/43,426.56 = 20,296/x
  3. Step 3: Cross multiply
    31,484.80x = 43,426.56 × 20,296
  4. Step 4: Simplify right side
    31,484.80x = 881,385,461.76
  5. Step 5: Solve for x
    x = 881,385,461.76/31,484.80
  6. Step 6: Final answer
    x = 27,994.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.