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Finding the Fourth Proportional to 31,706.34, 43,714.95 and 20,355.78

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Solution

The fourth proportional to 31,706.34, 43,714.95 and 20,355.78 is: 28,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.34 : 43,714.95 = 20,355.78 : x
  2. Step 2: Convert to fraction form
    31,706.34/43,714.95 = 20,355.78/x
  3. Step 3: Cross multiply
    31,706.34x = 43,714.95 × 20,355.78
  4. Step 4: Simplify right side
    31,706.34x = 889,851,904.91
  5. Step 5: Solve for x
    x = 889,851,904.91/31,706.34
  6. Step 6: Final answer
    x = 28,065.42

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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.