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Finding the Fourth Proportional to 46,954.69, 70,432.03 and 15,789.94

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Solution

The fourth proportional to 46,954.69, 70,432.03 and 15,789.94 is: 23,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,954.69 : 70,432.03 = 15,789.94 : x
  2. Step 2: Convert to fraction form
    46,954.69/70,432.03 = 15,789.94/x
  3. Step 3: Cross multiply
    46,954.69x = 70,432.03 × 15,789.94
  4. Step 4: Simplify right side
    46,954.69x = 1,112,117,371.44
  5. Step 5: Solve for x
    x = 1,112,117,371.44/46,954.69
  6. Step 6: Final answer
    x = 23,684.91

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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.