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Finding the Fourth Proportional to 30,347.84, 41,876.64 and 18,414.08

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Solution

The fourth proportional to 30,347.84, 41,876.64 and 18,414.08 is: 25,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,347.84 : 41,876.64 = 18,414.08 : x
  2. Step 2: Convert to fraction form
    30,347.84/41,876.64 = 18,414.08/x
  3. Step 3: Cross multiply
    30,347.84x = 41,876.64 × 18,414.08
  4. Step 4: Simplify right side
    30,347.84x = 771,119,799.09
  5. Step 5: Solve for x
    x = 771,119,799.09/30,347.84
  6. Step 6: Final answer
    x = 25,409.38

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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.