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Finding the Fourth Proportional to 57,630, 86,459.60 and 16,077

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Solution

The fourth proportional to 57,630, 86,459.60 and 16,077 is: 24,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,630 : 86,459.60 = 16,077 : x
  2. Step 2: Convert to fraction form
    57,630/86,459.60 = 16,077/x
  3. Step 3: Cross multiply
    57,630x = 86,459.60 × 16,077
  4. Step 4: Simplify right side
    57,630x = 1,390,010,989.20
  5. Step 5: Solve for x
    x = 1,390,010,989.20/57,630
  6. Step 6: Final answer
    x = 24,119.57

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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.