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Finding the Fourth Proportional to 51,908.24, 71,637 and 29,552.24

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Solution

The fourth proportional to 51,908.24, 71,637 and 29,552.24 is: 40,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,908.24 : 71,637 = 29,552.24 : x
  2. Step 2: Convert to fraction form
    51,908.24/71,637 = 29,552.24/x
  3. Step 3: Cross multiply
    51,908.24x = 71,637 × 29,552.24
  4. Step 4: Simplify right side
    51,908.24x = 2,117,033,816.88
  5. Step 5: Solve for x
    x = 2,117,033,816.88/51,908.24
  6. Step 6: Final answer
    x = 40,784.16

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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.