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Finding the Fourth Proportional to 27,485.32, 41,174.70 and 21,613

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Solution

The fourth proportional to 27,485.32, 41,174.70 and 21,613 is: 32,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,485.32 : 41,174.70 = 21,613 : x
  2. Step 2: Convert to fraction form
    27,485.32/41,174.70 = 21,613/x
  3. Step 3: Cross multiply
    27,485.32x = 41,174.70 × 21,613
  4. Step 4: Simplify right side
    27,485.32x = 889,908,791.10
  5. Step 5: Solve for x
    x = 889,908,791.10/27,485.32
  6. Step 6: Final answer
    x = 32,377.60

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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.