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Finding the Fourth Proportional to 27,085.94, 40,643.49 and 27,003.50

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Solution

The fourth proportional to 27,085.94, 40,643.49 and 27,003.50 is: 40,519.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,085.94 : 40,643.49 = 27,003.50 : x
  2. Step 2: Convert to fraction form
    27,085.94/40,643.49 = 27,003.50/x
  3. Step 3: Cross multiply
    27,085.94x = 40,643.49 × 27,003.50
  4. Step 4: Simplify right side
    27,085.94x = 1,097,516,482.22
  5. Step 5: Solve for x
    x = 1,097,516,482.22/27,085.94
  6. Step 6: Final answer
    x = 40,519.79

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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.