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Finding the Fourth Proportional to 71,150.76, 106,741.98 and 21,231.72

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Solution

The fourth proportional to 71,150.76, 106,741.98 and 21,231.72 is: 31,852.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,150.76 : 106,741.98 = 21,231.72 : x
  2. Step 2: Convert to fraction form
    71,150.76/106,741.98 = 21,231.72/x
  3. Step 3: Cross multiply
    71,150.76x = 106,741.98 × 21,231.72
  4. Step 4: Simplify right side
    71,150.76x = 2,266,315,831.61
  5. Step 5: Solve for x
    x = 2,266,315,831.61/71,150.76
  6. Step 6: Final answer
    x = 31,852.31

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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.