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Finding the Fourth Proportional to 27,056.50, 40,549.11 and 11,454.82

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Solution

The fourth proportional to 27,056.50, 40,549.11 and 11,454.82 is: 17,167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,056.50 : 40,549.11 = 11,454.82 : x
  2. Step 2: Convert to fraction form
    27,056.50/40,549.11 = 11,454.82/x
  3. Step 3: Cross multiply
    27,056.50x = 40,549.11 × 11,454.82
  4. Step 4: Simplify right side
    27,056.50x = 464,482,756.21
  5. Step 5: Solve for x
    x = 464,482,756.21/27,056.50
  6. Step 6: Final answer
    x = 17,167.14

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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.