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Finding the Fourth Proportional to 30,269.52, 45,392.76 and 13,842

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Solution

The fourth proportional to 30,269.52, 45,392.76 and 13,842 is: 20,757.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,269.52 : 45,392.76 = 13,842 : x
  2. Step 2: Convert to fraction form
    30,269.52/45,392.76 = 13,842/x
  3. Step 3: Cross multiply
    30,269.52x = 45,392.76 × 13,842
  4. Step 4: Simplify right side
    30,269.52x = 628,326,583.92
  5. Step 5: Solve for x
    x = 628,326,583.92/30,269.52
  6. Step 6: Final answer
    x = 20,757.73

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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.