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Finding the Fourth Proportional to 27,045.34, 40,563 and 7,321.33

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Solution

The fourth proportional to 27,045.34, 40,563 and 7,321.33 is: 10,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,045.34 : 40,563 = 7,321.33 : x
  2. Step 2: Convert to fraction form
    27,045.34/40,563 = 7,321.33/x
  3. Step 3: Cross multiply
    27,045.34x = 40,563 × 7,321.33
  4. Step 4: Simplify right side
    27,045.34x = 296,975,108.79
  5. Step 5: Solve for x
    x = 296,975,108.79/27,045.34
  6. Step 6: Final answer
    x = 10,980.64

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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.