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Finding the Fourth Proportional to 57,577, 86,365.50 and 16,025.08

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Solution

The fourth proportional to 57,577, 86,365.50 and 16,025.08 is: 24,037.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,577 : 86,365.50 = 16,025.08 : x
  2. Step 2: Convert to fraction form
    57,577/86,365.50 = 16,025.08/x
  3. Step 3: Cross multiply
    57,577x = 86,365.50 × 16,025.08
  4. Step 4: Simplify right side
    57,577x = 1,384,014,046.74
  5. Step 5: Solve for x
    x = 1,384,014,046.74/57,577
  6. Step 6: Final answer
    x = 24,037.62

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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.