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Finding the Fourth Proportional to 27,155.96, 40,736.76 and 7,434.51

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Solution

The fourth proportional to 27,155.96, 40,736.76 and 7,434.51 is: 11,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,155.96 : 40,736.76 = 7,434.51 : x
  2. Step 2: Convert to fraction form
    27,155.96/40,736.76 = 7,434.51/x
  3. Step 3: Cross multiply
    27,155.96x = 40,736.76 × 7,434.51
  4. Step 4: Simplify right side
    27,155.96x = 302,857,849.59
  5. Step 5: Solve for x
    x = 302,857,849.59/27,155.96
  6. Step 6: Final answer
    x = 11,152.54

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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.