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Finding the Fourth Proportional to 74,698.70, 103,084.22 and 40,707.21

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Solution

The fourth proportional to 74,698.70, 103,084.22 and 40,707.21 is: 56,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,698.70 : 103,084.22 = 40,707.21 : x
  2. Step 2: Convert to fraction form
    74,698.70/103,084.22 = 40,707.21/x
  3. Step 3: Cross multiply
    74,698.70x = 103,084.22 × 40,707.21
  4. Step 4: Simplify right side
    74,698.70x = 4,196,270,787.69
  5. Step 5: Solve for x
    x = 4,196,270,787.69/74,698.70
  6. Step 6: Final answer
    x = 56,175.96

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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.