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Finding the Fourth Proportional to 46,951.88, 70,430.24 and 11,891.84

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Solution

The fourth proportional to 46,951.88, 70,430.24 and 11,891.84 is: 17,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,951.88 : 70,430.24 = 11,891.84 : x
  2. Step 2: Convert to fraction form
    46,951.88/70,430.24 = 11,891.84/x
  3. Step 3: Cross multiply
    46,951.88x = 70,430.24 × 11,891.84
  4. Step 4: Simplify right side
    46,951.88x = 837,545,145.24
  5. Step 5: Solve for x
    x = 837,545,145.24/46,951.88
  6. Step 6: Final answer
    x = 17,838.37

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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.