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Finding the Fourth Proportional to 27,509.34, 41,319.22 and 26,734.16

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Solution

The fourth proportional to 27,509.34, 41,319.22 and 26,734.16 is: 40,154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.34 : 41,319.22 = 26,734.16 : x
  2. Step 2: Convert to fraction form
    27,509.34/41,319.22 = 26,734.16/x
  3. Step 3: Cross multiply
    27,509.34x = 41,319.22 × 26,734.16
  4. Step 4: Simplify right side
    27,509.34x = 1,104,634,638.56
  5. Step 5: Solve for x
    x = 1,104,634,638.56/27,509.34
  6. Step 6: Final answer
    x = 40,154.89

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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.