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Finding the Fourth Proportional to 27,224.58, 40,817.55 and 10,570.57

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Solution

The fourth proportional to 27,224.58, 40,817.55 and 10,570.57 is: 15,848.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,224.58 : 40,817.55 = 10,570.57 : x
  2. Step 2: Convert to fraction form
    27,224.58/40,817.55 = 10,570.57/x
  3. Step 3: Cross multiply
    27,224.58x = 40,817.55 × 10,570.57
  4. Step 4: Simplify right side
    27,224.58x = 431,464,769.50
  5. Step 5: Solve for x
    x = 431,464,769.50/27,224.58
  6. Step 6: Final answer
    x = 15,848.35

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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.