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Finding the Fourth Proportional to 30,757.65, 46,120.07 and 15,929.79

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Solution

The fourth proportional to 30,757.65, 46,120.07 and 15,929.79 is: 23,886.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,757.65 : 46,120.07 = 15,929.79 : x
  2. Step 2: Convert to fraction form
    30,757.65/46,120.07 = 15,929.79/x
  3. Step 3: Cross multiply
    30,757.65x = 46,120.07 × 15,929.79
  4. Step 4: Simplify right side
    30,757.65x = 734,683,029.89
  5. Step 5: Solve for x
    x = 734,683,029.89/30,757.65
  6. Step 6: Final answer
    x = 23,886.19

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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.