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Finding the Fourth Proportional to 57,604, 86,410.96 and 16,051

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Solution

The fourth proportional to 57,604, 86,410.96 and 16,051 is: 24,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,604 : 86,410.96 = 16,051 : x
  2. Step 2: Convert to fraction form
    57,604/86,410.96 = 16,051/x
  3. Step 3: Cross multiply
    57,604x = 86,410.96 × 16,051
  4. Step 4: Simplify right side
    57,604x = 1,386,982,318.96
  5. Step 5: Solve for x
    x = 1,386,982,318.96/57,604
  6. Step 6: Final answer
    x = 24,077.88

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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.