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Finding the Fourth Proportional to 68,594.19, 103,405.42 and 64,022

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Solution

The fourth proportional to 68,594.19, 103,405.42 and 64,022 is: 96,512.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,594.19 : 103,405.42 = 64,022 : x
  2. Step 2: Convert to fraction form
    68,594.19/103,405.42 = 64,022/x
  3. Step 3: Cross multiply
    68,594.19x = 103,405.42 × 64,022
  4. Step 4: Simplify right side
    68,594.19x = 6,620,221,799.24
  5. Step 5: Solve for x
    x = 6,620,221,799.24/68,594.19
  6. Step 6: Final answer
    x = 96,512.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.