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Finding the Fourth Proportional to 46,416.24, 69,602.76 and 16,832.88

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Solution

The fourth proportional to 46,416.24, 69,602.76 and 16,832.88 is: 25,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,416.24 : 69,602.76 = 16,832.88 : x
  2. Step 2: Convert to fraction form
    46,416.24/69,602.76 = 16,832.88/x
  3. Step 3: Cross multiply
    46,416.24x = 69,602.76 × 16,832.88
  4. Step 4: Simplify right side
    46,416.24x = 1,171,614,906.75
  5. Step 5: Solve for x
    x = 1,171,614,906.75/46,416.24
  6. Step 6: Final answer
    x = 25,241.49

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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.