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Finding the Fourth Proportional to 69,177, 103,831.08 and 31,779.24

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Solution

The fourth proportional to 69,177, 103,831.08 and 31,779.24 is: 47,698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,177 : 103,831.08 = 31,779.24 : x
  2. Step 2: Convert to fraction form
    69,177/103,831.08 = 31,779.24/x
  3. Step 3: Cross multiply
    69,177x = 103,831.08 × 31,779.24
  4. Step 4: Simplify right side
    69,177x = 3,299,672,810.78
  5. Step 5: Solve for x
    x = 3,299,672,810.78/69,177
  6. Step 6: Final answer
    x = 47,698.99

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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.