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Finding the Fourth Proportional to 47,889.12, 71,828.14 and 12,831.60

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Solution

The fourth proportional to 47,889.12, 71,828.14 and 12,831.60 is: 19,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,889.12 : 71,828.14 = 12,831.60 : x
  2. Step 2: Convert to fraction form
    47,889.12/71,828.14 = 12,831.60/x
  3. Step 3: Cross multiply
    47,889.12x = 71,828.14 × 12,831.60
  4. Step 4: Simplify right side
    47,889.12x = 921,669,961.22
  5. Step 5: Solve for x
    x = 921,669,961.22/47,889.12
  6. Step 6: Final answer
    x = 19,245.92

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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.