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Finding the Fourth Proportional to 48,120.48, 72,182.88 and 16,956

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Solution

The fourth proportional to 48,120.48, 72,182.88 and 16,956 is: 25,434.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,120.48 : 72,182.88 = 16,956 : x
  2. Step 2: Convert to fraction form
    48,120.48/72,182.88 = 16,956/x
  3. Step 3: Cross multiply
    48,120.48x = 72,182.88 × 16,956
  4. Step 4: Simplify right side
    48,120.48x = 1,223,932,913.28
  5. Step 5: Solve for x
    x = 1,223,932,913.28/48,120.48
  6. Step 6: Final answer
    x = 25,434.76

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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.