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Finding the Fourth Proportional to 27,157.96, 40,739.76 and 7,436.52

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Solution

The fourth proportional to 27,157.96, 40,739.76 and 7,436.52 is: 11,155.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,157.96 : 40,739.76 = 7,436.52 : x
  2. Step 2: Convert to fraction form
    27,157.96/40,739.76 = 7,436.52/x
  3. Step 3: Cross multiply
    27,157.96x = 40,739.76 × 7,436.52
  4. Step 4: Simplify right side
    27,157.96x = 302,962,040.04
  5. Step 5: Solve for x
    x = 302,962,040.04/27,157.96
  6. Step 6: Final answer
    x = 11,155.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.