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Finding the Fourth Proportional to 73,546, 110,334.36 and 29,770

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Solution

The fourth proportional to 73,546, 110,334.36 and 29,770 is: 44,661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,546 : 110,334.36 = 29,770 : x
  2. Step 2: Convert to fraction form
    73,546/110,334.36 = 29,770/x
  3. Step 3: Cross multiply
    73,546x = 110,334.36 × 29,770
  4. Step 4: Simplify right side
    73,546x = 3,284,653,897.20
  5. Step 5: Solve for x
    x = 3,284,653,897.20/73,546
  6. Step 6: Final answer
    x = 44,661.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.