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Finding the Fourth Proportional to 31,000.34, 42,780.84 and 16,852.88

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Solution

The fourth proportional to 31,000.34, 42,780.84 and 16,852.88 is: 23,257.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.34 : 42,780.84 = 16,852.88 : x
  2. Step 2: Convert to fraction form
    31,000.34/42,780.84 = 16,852.88/x
  3. Step 3: Cross multiply
    31,000.34x = 42,780.84 × 16,852.88
  4. Step 4: Simplify right side
    31,000.34x = 720,980,362.82
  5. Step 5: Solve for x
    x = 720,980,362.82/31,000.34
  6. Step 6: Final answer
    x = 23,257.18

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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.