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Finding the Fourth Proportional to 31,742.45, 43,792.11 and 20,410.14

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Solution

The fourth proportional to 31,742.45, 43,792.11 and 20,410.14 is: 28,157.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,742.45 : 43,792.11 = 20,410.14 : x
  2. Step 2: Convert to fraction form
    31,742.45/43,792.11 = 20,410.14/x
  3. Step 3: Cross multiply
    31,742.45x = 43,792.11 × 20,410.14
  4. Step 4: Simplify right side
    31,742.45x = 893,803,096.00
  5. Step 5: Solve for x
    x = 893,803,096.00/31,742.45
  6. Step 6: Final answer
    x = 28,157.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.