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Finding the Fourth Proportional to 57,629, 86,458.10 and 16,076

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Solution

The fourth proportional to 57,629, 86,458.10 and 16,076 is: 24,118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,629 : 86,458.10 = 16,076 : x
  2. Step 2: Convert to fraction form
    57,629/86,458.10 = 16,076/x
  3. Step 3: Cross multiply
    57,629x = 86,458.10 × 16,076
  4. Step 4: Simplify right side
    57,629x = 1,389,900,415.60
  5. Step 5: Solve for x
    x = 1,389,900,415.60/57,629
  6. Step 6: Final answer
    x = 24,118.07

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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.