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Finding the Fourth Proportional to 51,546, 71,133.63 and 30,048.51

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Solution

The fourth proportional to 51,546, 71,133.63 and 30,048.51 is: 41,467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,546 : 71,133.63 = 30,048.51 : x
  2. Step 2: Convert to fraction form
    51,546/71,133.63 = 30,048.51/x
  3. Step 3: Cross multiply
    51,546x = 71,133.63 × 30,048.51
  4. Step 4: Simplify right side
    51,546x = 2,137,459,592.39
  5. Step 5: Solve for x
    x = 2,137,459,592.39/51,546
  6. Step 6: Final answer
    x = 41,467.03

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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.