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Finding the Fourth Proportional to 64,567.71, 96,857.16 and 17,820.60

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Solution

The fourth proportional to 64,567.71, 96,857.16 and 17,820.60 is: 26,732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,567.71 : 96,857.16 = 17,820.60 : x
  2. Step 2: Convert to fraction form
    64,567.71/96,857.16 = 17,820.60/x
  3. Step 3: Cross multiply
    64,567.71x = 96,857.16 × 17,820.60
  4. Step 4: Simplify right side
    64,567.71x = 1,726,052,705.50
  5. Step 5: Solve for x
    x = 1,726,052,705.50/64,567.71
  6. Step 6: Final answer
    x = 26,732.44

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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.