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Finding the Fourth Proportional to 36,554.86, 54,825 and 10,259.86

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Solution

The fourth proportional to 36,554.86, 54,825 and 10,259.86 is: 15,387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,554.86 : 54,825 = 10,259.86 : x
  2. Step 2: Convert to fraction form
    36,554.86/54,825 = 10,259.86/x
  3. Step 3: Cross multiply
    36,554.86x = 54,825 × 10,259.86
  4. Step 4: Simplify right side
    36,554.86x = 562,496,824.50
  5. Step 5: Solve for x
    x = 562,496,824.50/36,554.86
  6. Step 6: Final answer
    x = 15,387.74

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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.