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Finding the Fourth Proportional to 27,831.54, 41,746.77 and 7,054.50

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Solution

The fourth proportional to 27,831.54, 41,746.77 and 7,054.50 is: 10,581.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831.54 : 41,746.77 = 7,054.50 : x
  2. Step 2: Convert to fraction form
    27,831.54/41,746.77 = 7,054.50/x
  3. Step 3: Cross multiply
    27,831.54x = 41,746.77 × 7,054.50
  4. Step 4: Simplify right side
    27,831.54x = 294,502,588.97
  5. Step 5: Solve for x
    x = 294,502,588.97/27,831.54
  6. Step 6: Final answer
    x = 10,581.61

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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.