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Finding the Fourth Proportional to 129,594.49, 194,362.57 and 46,488.49

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Solution

The fourth proportional to 129,594.49, 194,362.57 and 46,488.49 is: 69,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,594.49 : 194,362.57 = 46,488.49 : x
  2. Step 2: Convert to fraction form
    129,594.49/194,362.57 = 46,488.49/x
  3. Step 3: Cross multiply
    129,594.49x = 194,362.57 × 46,488.49
  4. Step 4: Simplify right side
    129,594.49x = 9,035,622,391.82
  5. Step 5: Solve for x
    x = 9,035,622,391.82/129,594.49
  6. Step 6: Final answer
    x = 69,722.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.