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Finding the Fourth Proportional to 27,831.60, 41,747.40 and 7,055.10

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Solution

The fourth proportional to 27,831.60, 41,747.40 and 7,055.10 is: 10,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831.60 : 41,747.40 = 7,055.10 : x
  2. Step 2: Convert to fraction form
    27,831.60/41,747.40 = 7,055.10/x
  3. Step 3: Cross multiply
    27,831.60x = 41,747.40 × 7,055.10
  4. Step 4: Simplify right side
    27,831.60x = 294,532,081.74
  5. Step 5: Solve for x
    x = 294,532,081.74/27,831.60
  6. Step 6: Final answer
    x = 10,582.65

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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.