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Finding the Fourth Proportional to 10,034.42, 15,051.60 and 3,014.42

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Solution

The fourth proportional to 10,034.42, 15,051.60 and 3,014.42 is: 4,521.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.42 : 15,051.60 = 3,014.42 : x
  2. Step 2: Convert to fraction form
    10,034.42/15,051.60 = 3,014.42/x
  3. Step 3: Cross multiply
    10,034.42x = 15,051.60 × 3,014.42
  4. Step 4: Simplify right side
    10,034.42x = 45,371,844.07
  5. Step 5: Solve for x
    x = 45,371,844.07/10,034.42
  6. Step 6: Final answer
    x = 4,521.62

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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.