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Finding the Fourth Proportional to 51,429.84, 70,971.24 and 29,074.32

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Solution

The fourth proportional to 51,429.84, 70,971.24 and 29,074.32 is: 40,121.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,429.84 : 70,971.24 = 29,074.32 : x
  2. Step 2: Convert to fraction form
    51,429.84/70,971.24 = 29,074.32/x
  3. Step 3: Cross multiply
    51,429.84x = 70,971.24 × 29,074.32
  4. Step 4: Simplify right side
    51,429.84x = 2,063,440,542.56
  5. Step 5: Solve for x
    x = 2,063,440,542.56/51,429.84
  6. Step 6: Final answer
    x = 40,121.47

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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.