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Finding the Fourth Proportional to 30,192.46, 45,278.42 and 10,466.42

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Solution

The fourth proportional to 30,192.46, 45,278.42 and 10,466.42 is: 15,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,192.46 : 45,278.42 = 10,466.42 : x
  2. Step 2: Convert to fraction form
    30,192.46/45,278.42 = 10,466.42/x
  3. Step 3: Cross multiply
    30,192.46x = 45,278.42 × 10,466.42
  4. Step 4: Simplify right side
    30,192.46x = 473,902,960.66
  5. Step 5: Solve for x
    x = 473,902,960.66/30,192.46
  6. Step 6: Final answer
    x = 15,696.07

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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.