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Finding the Fourth Proportional to 47,874.76, 71,779.74 and 16,693

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Solution

The fourth proportional to 47,874.76, 71,779.74 and 16,693 is: 25,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,874.76 : 71,779.74 = 16,693 : x
  2. Step 2: Convert to fraction form
    47,874.76/71,779.74 = 16,693/x
  3. Step 3: Cross multiply
    47,874.76x = 71,779.74 × 16,693
  4. Step 4: Simplify right side
    47,874.76x = 1,198,219,199.82
  5. Step 5: Solve for x
    x = 1,198,219,199.82/47,874.76
  6. Step 6: Final answer
    x = 25,028.20

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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.