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Finding the Fourth Proportional to 49,412, 74,125.68 and 16,587.68

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Solution

The fourth proportional to 49,412, 74,125.68 and 16,587.68 is: 24,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,412 : 74,125.68 = 16,587.68 : x
  2. Step 2: Convert to fraction form
    49,412/74,125.68 = 16,587.68/x
  3. Step 3: Cross multiply
    49,412x = 74,125.68 × 16,587.68
  4. Step 4: Simplify right side
    49,412x = 1,229,573,059.62
  5. Step 5: Solve for x
    x = 1,229,573,059.62/49,412
  6. Step 6: Final answer
    x = 24,884.10

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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.