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Finding the Fourth Proportional to 47,214.60, 70,778.16 and 23,813.88

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Solution

The fourth proportional to 47,214.60, 70,778.16 and 23,813.88 is: 35,698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,214.60 : 70,778.16 = 23,813.88 : x
  2. Step 2: Convert to fraction form
    47,214.60/70,778.16 = 23,813.88/x
  3. Step 3: Cross multiply
    47,214.60x = 70,778.16 × 23,813.88
  4. Step 4: Simplify right side
    47,214.60x = 1,685,502,608.86
  5. Step 5: Solve for x
    x = 1,685,502,608.86/47,214.60
  6. Step 6: Final answer
    x = 35,698.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.