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Finding the Fourth Proportional to 51,094.76, 76,642 and 16,037.04

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Solution

The fourth proportional to 51,094.76, 76,642 and 16,037.04 is: 24,055.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,094.76 : 76,642 = 16,037.04 : x
  2. Step 2: Convert to fraction form
    51,094.76/76,642 = 16,037.04/x
  3. Step 3: Cross multiply
    51,094.76x = 76,642 × 16,037.04
  4. Step 4: Simplify right side
    51,094.76x = 1,229,110,819.68
  5. Step 5: Solve for x
    x = 1,229,110,819.68/51,094.76
  6. Step 6: Final answer
    x = 24,055.52

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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.