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Finding the Fourth Proportional to 31,302.62, 46,954.02 and 7,929.04

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Solution

The fourth proportional to 31,302.62, 46,954.02 and 7,929.04 is: 11,893.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,302.62 : 46,954.02 = 7,929.04 : x
  2. Step 2: Convert to fraction form
    31,302.62/46,954.02 = 7,929.04/x
  3. Step 3: Cross multiply
    31,302.62x = 46,954.02 × 7,929.04
  4. Step 4: Simplify right side
    31,302.62x = 372,300,302.74
  5. Step 5: Solve for x
    x = 372,300,302.74/31,302.62
  6. Step 6: Final answer
    x = 11,893.58

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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.