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Finding the Fourth Proportional to 47,169.87, 70,735.77 and 19,084.74

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Solution

The fourth proportional to 47,169.87, 70,735.77 and 19,084.74 is: 28,619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,169.87 : 70,735.77 = 19,084.74 : x
  2. Step 2: Convert to fraction form
    47,169.87/70,735.77 = 19,084.74/x
  3. Step 3: Cross multiply
    47,169.87x = 70,735.77 × 19,084.74
  4. Step 4: Simplify right side
    47,169.87x = 1,349,973,779.15
  5. Step 5: Solve for x
    x = 1,349,973,779.15/47,169.87
  6. Step 6: Final answer
    x = 28,619.41

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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.