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Finding the Fourth Proportional to 51,803.89, 71,482.64 and 29,142.12

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Solution

The fourth proportional to 51,803.89, 71,482.64 and 29,142.12 is: 40,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,803.89 : 71,482.64 = 29,142.12 : x
  2. Step 2: Convert to fraction form
    51,803.89/71,482.64 = 29,142.12/x
  3. Step 3: Cross multiply
    51,803.89x = 71,482.64 × 29,142.12
  4. Step 4: Simplify right side
    51,803.89x = 2,083,155,388.24
  5. Step 5: Solve for x
    x = 2,083,155,388.24/51,803.89
  6. Step 6: Final answer
    x = 40,212.34

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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.