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Finding the Fourth Proportional to 47,400.64, 71,111.28 and 16,236.64

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Solution

The fourth proportional to 47,400.64, 71,111.28 and 16,236.64 is: 24,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,400.64 : 71,111.28 = 16,236.64 : x
  2. Step 2: Convert to fraction form
    47,400.64/71,111.28 = 16,236.64/x
  3. Step 3: Cross multiply
    47,400.64x = 71,111.28 × 16,236.64
  4. Step 4: Simplify right side
    47,400.64x = 1,154,608,253.30
  5. Step 5: Solve for x
    x = 1,154,608,253.30/47,400.64
  6. Step 6: Final answer
    x = 24,358.50

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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.