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Finding the Fourth Proportional to 85,919.33, 118,568.41 and 47,684.70

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Solution

The fourth proportional to 85,919.33, 118,568.41 and 47,684.70 is: 65,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,919.33 : 118,568.41 = 47,684.70 : x
  2. Step 2: Convert to fraction form
    85,919.33/118,568.41 = 47,684.70/x
  3. Step 3: Cross multiply
    85,919.33x = 118,568.41 × 47,684.70
  4. Step 4: Simplify right side
    85,919.33x = 5,653,898,941.12
  5. Step 5: Solve for x
    x = 5,653,898,941.12/85,919.33
  6. Step 6: Final answer
    x = 65,804.74

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Why These Related Problems?

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