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Finding the Fourth Proportional to 64,278.16, 96,375.96 and 30,954.64

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Solution

The fourth proportional to 64,278.16, 96,375.96 and 30,954.64 is: 46,412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,278.16 : 96,375.96 = 30,954.64 : x
  2. Step 2: Convert to fraction form
    64,278.16/96,375.96 = 30,954.64/x
  3. Step 3: Cross multiply
    64,278.16x = 96,375.96 × 30,954.64
  4. Step 4: Simplify right side
    64,278.16x = 2,983,283,146.45
  5. Step 5: Solve for x
    x = 2,983,283,146.45/64,278.16
  6. Step 6: Final answer
    x = 46,412.08

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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.