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Finding the Fourth Proportional to 31,853.34, 43,956.54 and 17,705.88

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Solution

The fourth proportional to 31,853.34, 43,956.54 and 17,705.88 is: 24,433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853.34 : 43,956.54 = 17,705.88 : x
  2. Step 2: Convert to fraction form
    31,853.34/43,956.54 = 17,705.88/x
  3. Step 3: Cross multiply
    31,853.34x = 43,956.54 × 17,705.88
  4. Step 4: Simplify right side
    31,853.34x = 778,289,222.46
  5. Step 5: Solve for x
    x = 778,289,222.46/31,853.34
  6. Step 6: Final answer
    x = 24,433.52

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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.