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Finding the Fourth Proportional to 30,271.93, 45,409.61 and 9,212.66

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Solution

The fourth proportional to 30,271.93, 45,409.61 and 9,212.66 is: 13,819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,271.93 : 45,409.61 = 9,212.66 : x
  2. Step 2: Convert to fraction form
    30,271.93/45,409.61 = 9,212.66/x
  3. Step 3: Cross multiply
    30,271.93x = 45,409.61 × 9,212.66
  4. Step 4: Simplify right side
    30,271.93x = 418,343,194.84
  5. Step 5: Solve for x
    x = 418,343,194.84/30,271.93
  6. Step 6: Final answer
    x = 13,819.51

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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.