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Finding the Fourth Proportional to 35,203.50, 52,757.46 and 12,995.46

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Solution

The fourth proportional to 35,203.50, 52,757.46 and 12,995.46 is: 19,475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,203.50 : 52,757.46 = 12,995.46 : x
  2. Step 2: Convert to fraction form
    35,203.50/52,757.46 = 12,995.46/x
  3. Step 3: Cross multiply
    35,203.50x = 52,757.46 × 12,995.46
  4. Step 4: Simplify right side
    35,203.50x = 685,607,461.13
  5. Step 5: Solve for x
    x = 685,607,461.13/35,203.50
  6. Step 6: Final answer
    x = 19,475.55

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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.