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Finding the Fourth Proportional to 30,269.93, 45,409.75 and 11,549.21

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Solution

The fourth proportional to 30,269.93, 45,409.75 and 11,549.21 is: 17,325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,269.93 : 45,409.75 = 11,549.21 : x
  2. Step 2: Convert to fraction form
    30,269.93/45,409.75 = 11,549.21/x
  3. Step 3: Cross multiply
    30,269.93x = 45,409.75 × 11,549.21
  4. Step 4: Simplify right side
    30,269.93x = 524,446,482.88
  5. Step 5: Solve for x
    x = 524,446,482.88/30,269.93
  6. Step 6: Final answer
    x = 17,325.66

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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.