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Finding the Fourth Proportional to 47,416.40, 71,105.40 and 16,235.60

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Solution

The fourth proportional to 47,416.40, 71,105.40 and 16,235.60 is: 24,346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,416.40 : 71,105.40 = 16,235.60 : x
  2. Step 2: Convert to fraction form
    47,416.40/71,105.40 = 16,235.60/x
  3. Step 3: Cross multiply
    47,416.40x = 71,105.40 × 16,235.60
  4. Step 4: Simplify right side
    47,416.40x = 1,154,438,832.24
  5. Step 5: Solve for x
    x = 1,154,438,832.24/47,416.40
  6. Step 6: Final answer
    x = 24,346.83

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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.