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Finding the Fourth Proportional to 47,698.78, 65,830.38 and 28,835.86

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Solution

The fourth proportional to 47,698.78, 65,830.38 and 28,835.86 is: 39,797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,698.78 : 65,830.38 = 28,835.86 : x
  2. Step 2: Convert to fraction form
    47,698.78/65,830.38 = 28,835.86/x
  3. Step 3: Cross multiply
    47,698.78x = 65,830.38 × 28,835.86
  4. Step 4: Simplify right side
    47,698.78x = 1,898,275,621.43
  5. Step 5: Solve for x
    x = 1,898,275,621.43/47,698.78
  6. Step 6: Final answer
    x = 39,797.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.