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Finding the Fourth Proportional to 30,094.56, 45,131.04 and 10,368

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Solution

The fourth proportional to 30,094.56, 45,131.04 and 10,368 is: 15,548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,094.56 : 45,131.04 = 10,368 : x
  2. Step 2: Convert to fraction form
    30,094.56/45,131.04 = 10,368/x
  3. Step 3: Cross multiply
    30,094.56x = 45,131.04 × 10,368
  4. Step 4: Simplify right side
    30,094.56x = 467,918,622.72
  5. Step 5: Solve for x
    x = 467,918,622.72/30,094.56
  6. Step 6: Final answer
    x = 15,548.28

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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.