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Finding the Fourth Proportional to 64,567.89, 96,857.42 and 17,820.77

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Solution

The fourth proportional to 64,567.89, 96,857.42 and 17,820.77 is: 26,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,567.89 : 96,857.42 = 17,820.77 : x
  2. Step 2: Convert to fraction form
    64,567.89/96,857.42 = 17,820.77/x
  3. Step 3: Cross multiply
    64,567.89x = 96,857.42 × 17,820.77
  4. Step 4: Simplify right side
    64,567.89x = 1,726,073,231.22
  5. Step 5: Solve for x
    x = 1,726,073,231.22/64,567.89
  6. Step 6: Final answer
    x = 26,732.69

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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.