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Finding the Fourth Proportional to 51,712.32, 71,362.68 and 29,051.34

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Solution

The fourth proportional to 51,712.32, 71,362.68 and 29,051.34 is: 40,090.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,712.32 : 71,362.68 = 29,051.34 : x
  2. Step 2: Convert to fraction form
    51,712.32/71,362.68 = 29,051.34/x
  3. Step 3: Cross multiply
    51,712.32x = 71,362.68 × 29,051.34
  4. Step 4: Simplify right side
    51,712.32x = 2,073,181,479.99
  5. Step 5: Solve for x
    x = 2,073,181,479.99/51,712.32
  6. Step 6: Final answer
    x = 40,090.67

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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.