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Finding the Fourth Proportional to 30,474.64, 42,054.82 and 17,047.38

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Solution

The fourth proportional to 30,474.64, 42,054.82 and 17,047.38 is: 23,525.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,474.64 : 42,054.82 = 17,047.38 : x
  2. Step 2: Convert to fraction form
    30,474.64/42,054.82 = 17,047.38/x
  3. Step 3: Cross multiply
    30,474.64x = 42,054.82 × 17,047.38
  4. Step 4: Simplify right side
    30,474.64x = 716,924,497.37
  5. Step 5: Solve for x
    x = 716,924,497.37/30,474.64
  6. Step 6: Final answer
    x = 23,525.28

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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.