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Finding the Fourth Proportional to 30,208, 41,689.60 and 16,962.56

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Solution

The fourth proportional to 30,208, 41,689.60 and 16,962.56 is: 23,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,208 : 41,689.60 = 16,962.56 : x
  2. Step 2: Convert to fraction form
    30,208/41,689.60 = 16,962.56/x
  3. Step 3: Cross multiply
    30,208x = 41,689.60 × 16,962.56
  4. Step 4: Simplify right side
    30,208x = 707,162,341.38
  5. Step 5: Solve for x
    x = 707,162,341.38/30,208
  6. Step 6: Final answer
    x = 23,409.77

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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.