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Finding the Fourth Proportional to 64,213.51, 96,320.92 and 28,676.64

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Solution

The fourth proportional to 64,213.51, 96,320.92 and 28,676.64 is: 43,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,213.51 : 96,320.92 = 28,676.64 : x
  2. Step 2: Convert to fraction form
    64,213.51/96,320.92 = 28,676.64/x
  3. Step 3: Cross multiply
    64,213.51x = 96,320.92 × 28,676.64
  4. Step 4: Simplify right side
    64,213.51x = 2,762,159,865.70
  5. Step 5: Solve for x
    x = 2,762,159,865.70/64,213.51
  6. Step 6: Final answer
    x = 43,015.25

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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.