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Finding the Fourth Proportional to 30,211.64, 45,322.07 and 15,412.49

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Solution

The fourth proportional to 30,211.64, 45,322.07 and 15,412.49 is: 23,121.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211.64 : 45,322.07 = 15,412.49 : x
  2. Step 2: Convert to fraction form
    30,211.64/45,322.07 = 15,412.49/x
  3. Step 3: Cross multiply
    30,211.64x = 45,322.07 × 15,412.49
  4. Step 4: Simplify right side
    30,211.64x = 698,525,950.65
  5. Step 5: Solve for x
    x = 698,525,950.65/30,211.64
  6. Step 6: Final answer
    x = 23,121.09

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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.