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Finding the Fourth Proportional to 34,442.33, 51,657.41 and 9,476.34

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Solution

The fourth proportional to 34,442.33, 51,657.41 and 9,476.34 is: 14,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,442.33 : 51,657.41 = 9,476.34 : x
  2. Step 2: Convert to fraction form
    34,442.33/51,657.41 = 9,476.34/x
  3. Step 3: Cross multiply
    34,442.33x = 51,657.41 × 9,476.34
  4. Step 4: Simplify right side
    34,442.33x = 489,523,133.30
  5. Step 5: Solve for x
    x = 489,523,133.30/34,442.33
  6. Step 6: Final answer
    x = 14,212.84

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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.