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Finding the Fourth Proportional to 30,929.48, 46,396.80 and 9,872.54

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Solution

The fourth proportional to 30,929.48, 46,396.80 and 9,872.54 is: 14,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,929.48 : 46,396.80 = 9,872.54 : x
  2. Step 2: Convert to fraction form
    30,929.48/46,396.80 = 9,872.54/x
  3. Step 3: Cross multiply
    30,929.48x = 46,396.80 × 9,872.54
  4. Step 4: Simplify right side
    30,929.48x = 458,054,263.87
  5. Step 5: Solve for x
    x = 458,054,263.87/30,929.48
  6. Step 6: Final answer
    x = 14,809.63

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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.