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Finding the Fourth Proportional to 64,983.25, 89,676.89 and 35,175.25

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Solution

The fourth proportional to 64,983.25, 89,676.89 and 35,175.25 is: 48,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,983.25 : 89,676.89 = 35,175.25 : x
  2. Step 2: Convert to fraction form
    64,983.25/89,676.89 = 35,175.25/x
  3. Step 3: Cross multiply
    64,983.25x = 89,676.89 × 35,175.25
  4. Step 4: Simplify right side
    64,983.25x = 3,154,407,024.97
  5. Step 5: Solve for x
    x = 3,154,407,024.97/64,983.25
  6. Step 6: Final answer
    x = 48,541.85

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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.