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Finding the Fourth Proportional to 30,006, 41,407.79 and 16,577.82

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Solution

The fourth proportional to 30,006, 41,407.79 and 16,577.82 is: 22,877.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,006 : 41,407.79 = 16,577.82 : x
  2. Step 2: Convert to fraction form
    30,006/41,407.79 = 16,577.82/x
  3. Step 3: Cross multiply
    30,006x = 41,407.79 × 16,577.82
  4. Step 4: Simplify right side
    30,006x = 686,450,806.33
  5. Step 5: Solve for x
    x = 686,450,806.33/30,006
  6. Step 6: Final answer
    x = 22,877.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.