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Finding the Fourth Proportional to 64,983, 89,676.81 and 35,175

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Solution

The fourth proportional to 64,983, 89,676.81 and 35,175 is: 48,541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,983 : 89,676.81 = 35,175 : x
  2. Step 2: Convert to fraction form
    64,983/89,676.81 = 35,175/x
  3. Step 3: Cross multiply
    64,983x = 89,676.81 × 35,175
  4. Step 4: Simplify right side
    64,983x = 3,154,381,791.75
  5. Step 5: Solve for x
    x = 3,154,381,791.75/64,983
  6. Step 6: Final answer
    x = 48,541.65

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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.