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Finding the Fourth Proportional to 27,157.41, 40,731.44 and 7,431.57

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Solution

The fourth proportional to 27,157.41, 40,731.44 and 7,431.57 is: 11,146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,157.41 : 40,731.44 = 7,431.57 : x
  2. Step 2: Convert to fraction form
    27,157.41/40,731.44 = 7,431.57/x
  3. Step 3: Cross multiply
    27,157.41x = 40,731.44 × 7,431.57
  4. Step 4: Simplify right side
    27,157.41x = 302,698,510.40
  5. Step 5: Solve for x
    x = 302,698,510.40/27,157.41
  6. Step 6: Final answer
    x = 11,146.07

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1.5x scale

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.