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Finding the Fourth Proportional to 57,846.40, 86,769.60 and 16,293.40

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Solution

The fourth proportional to 57,846.40, 86,769.60 and 16,293.40 is: 24,440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,846.40 : 86,769.60 = 16,293.40 : x
  2. Step 2: Convert to fraction form
    57,846.40/86,769.60 = 16,293.40/x
  3. Step 3: Cross multiply
    57,846.40x = 86,769.60 × 16,293.40
  4. Step 4: Simplify right side
    57,846.40x = 1,413,771,800.64
  5. Step 5: Solve for x
    x = 1,413,771,800.64/57,846.40
  6. Step 6: Final answer
    x = 24,440.10

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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.