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Finding the Fourth Proportional to 27,085.44, 40,642.74 and 27,003

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Solution

The fourth proportional to 27,085.44, 40,642.74 and 27,003 is: 40,519.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,085.44 : 40,642.74 = 27,003 : x
  2. Step 2: Convert to fraction form
    27,085.44/40,642.74 = 27,003/x
  3. Step 3: Cross multiply
    27,085.44x = 40,642.74 × 27,003
  4. Step 4: Simplify right side
    27,085.44x = 1,097,475,908.22
  5. Step 5: Solve for x
    x = 1,097,475,908.22/27,085.44
  6. Step 6: Final answer
    x = 40,519.04

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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.