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Finding the Fourth Proportional to 30,811.23, 46,222.56 and 9,756.59

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Solution

The fourth proportional to 30,811.23, 46,222.56 and 9,756.59 is: 14,636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.23 : 46,222.56 = 9,756.59 : x
  2. Step 2: Convert to fraction form
    30,811.23/46,222.56 = 9,756.59/x
  3. Step 3: Cross multiply
    30,811.23x = 46,222.56 × 9,756.59
  4. Step 4: Simplify right side
    30,811.23x = 450,974,335.56
  5. Step 5: Solve for x
    x = 450,974,335.56/30,811.23
  6. Step 6: Final answer
    x = 14,636.69

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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.