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Finding the Fourth Proportional to 27,643.06, 41,482.34 and 27,541

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Solution

The fourth proportional to 27,643.06, 41,482.34 and 27,541 is: 41,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,643.06 : 41,482.34 = 27,541 : x
  2. Step 2: Convert to fraction form
    27,643.06/41,482.34 = 27,541/x
  3. Step 3: Cross multiply
    27,643.06x = 41,482.34 × 27,541
  4. Step 4: Simplify right side
    27,643.06x = 1,142,465,125.94
  5. Step 5: Solve for x
    x = 1,142,465,125.94/27,643.06
  6. Step 6: Final answer
    x = 41,329.18

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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.