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Finding the Fourth Proportional to 30,770.61, 42,463.47 and 16,623.46

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Solution

The fourth proportional to 30,770.61, 42,463.47 and 16,623.46 is: 22,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.61 : 42,463.47 = 16,623.46 : x
  2. Step 2: Convert to fraction form
    30,770.61/42,463.47 = 16,623.46/x
  3. Step 3: Cross multiply
    30,770.61x = 42,463.47 × 16,623.46
  4. Step 4: Simplify right side
    30,770.61x = 705,889,795.01
  5. Step 5: Solve for x
    x = 705,889,795.01/30,770.61
  6. Step 6: Final answer
    x = 22,940.39

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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.