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Finding the Fourth Proportional to 30,074.52, 45,119.47 and 9,014.50

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Solution

The fourth proportional to 30,074.52, 45,119.47 and 9,014.50 is: 13,524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,074.52 : 45,119.47 = 9,014.50 : x
  2. Step 2: Convert to fraction form
    30,074.52/45,119.47 = 9,014.50/x
  3. Step 3: Cross multiply
    30,074.52x = 45,119.47 × 9,014.50
  4. Step 4: Simplify right side
    30,074.52x = 406,729,462.32
  5. Step 5: Solve for x
    x = 406,729,462.32/30,074.52
  6. Step 6: Final answer
    x = 13,524.05

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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.