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Finding the Fourth Proportional to 30,048, 45,072.62 and 9,271.50

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Solution

The fourth proportional to 30,048, 45,072.62 and 9,271.50 is: 13,907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,048 : 45,072.62 = 9,271.50 : x
  2. Step 2: Convert to fraction form
    30,048/45,072.62 = 9,271.50/x
  3. Step 3: Cross multiply
    30,048x = 45,072.62 × 9,271.50
  4. Step 4: Simplify right side
    30,048x = 417,890,749.97
  5. Step 5: Solve for x
    x = 417,890,749.97/30,048
  6. Step 6: Final answer
    x = 13,907.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.