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Finding the Fourth Proportional to 106,580.69, 159,920.89 and 46,601.40

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Solution

The fourth proportional to 106,580.69, 159,920.89 and 46,601.40 is: 69,923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,580.69 : 159,920.89 = 46,601.40 : x
  2. Step 2: Convert to fraction form
    106,580.69/159,920.89 = 46,601.40/x
  3. Step 3: Cross multiply
    106,580.69x = 159,920.89 × 46,601.40
  4. Step 4: Simplify right side
    106,580.69x = 7,452,537,246.74
  5. Step 5: Solve for x
    x = 7,452,537,246.74/106,580.69
  6. Step 6: Final answer
    x = 69,923.90

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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.