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Finding the Fourth Proportional to 85,209.71, 117,584.03 and 46,967.15

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Solution

The fourth proportional to 85,209.71, 117,584.03 and 46,967.15 is: 64,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,209.71 : 117,584.03 = 46,967.15 : x
  2. Step 2: Convert to fraction form
    85,209.71/117,584.03 = 46,967.15/x
  3. Step 3: Cross multiply
    85,209.71x = 117,584.03 × 46,967.15
  4. Step 4: Simplify right side
    85,209.71x = 5,522,585,951.86
  5. Step 5: Solve for x
    x = 5,522,585,951.86/85,209.71
  6. Step 6: Final answer
    x = 64,811.70

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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.