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Finding the Fourth Proportional to 51,734.48, 71,393.16 and 29,378

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Solution

The fourth proportional to 51,734.48, 71,393.16 and 29,378 is: 40,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,734.48 : 71,393.16 = 29,378 : x
  2. Step 2: Convert to fraction form
    51,734.48/71,393.16 = 29,378/x
  3. Step 3: Cross multiply
    51,734.48x = 71,393.16 × 29,378
  4. Step 4: Simplify right side
    51,734.48x = 2,097,388,254.48
  5. Step 5: Solve for x
    x = 2,097,388,254.48/51,734.48
  6. Step 6: Final answer
    x = 40,541.40

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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.