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Finding the Fourth Proportional to 27,831.96, 41,748 and 7,057.08

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Solution

The fourth proportional to 27,831.96, 41,748 and 7,057.08 is: 10,585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831.96 : 41,748 = 7,057.08 : x
  2. Step 2: Convert to fraction form
    27,831.96/41,748 = 7,057.08/x
  3. Step 3: Cross multiply
    27,831.96x = 41,748 × 7,057.08
  4. Step 4: Simplify right side
    27,831.96x = 294,618,975.84
  5. Step 5: Solve for x
    x = 294,618,975.84/27,831.96
  6. Step 6: Final answer
    x = 10,585.64

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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.