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Finding the Fourth Proportional to 48,517, 66,992.10 and 31,529.64

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Solution

The fourth proportional to 48,517, 66,992.10 and 31,529.64 is: 43,536.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,517 : 66,992.10 = 31,529.64 : x
  2. Step 2: Convert to fraction form
    48,517/66,992.10 = 31,529.64/x
  3. Step 3: Cross multiply
    48,517x = 66,992.10 × 31,529.64
  4. Step 4: Simplify right side
    48,517x = 2,112,236,795.84
  5. Step 5: Solve for x
    x = 2,112,236,795.84/48,517
  6. Step 6: Final answer
    x = 43,536.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.