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Finding the Fourth Proportional to 70,906.43, 97,846.22 and 39,075.32

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Solution

The fourth proportional to 70,906.43, 97,846.22 and 39,075.32 is: 53,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,906.43 : 97,846.22 = 39,075.32 : x
  2. Step 2: Convert to fraction form
    70,906.43/97,846.22 = 39,075.32/x
  3. Step 3: Cross multiply
    70,906.43x = 97,846.22 × 39,075.32
  4. Step 4: Simplify right side
    70,906.43x = 3,823,372,699.59
  5. Step 5: Solve for x
    x = 3,823,372,699.59/70,906.43
  6. Step 6: Final answer
    x = 53,921.38

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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.