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Finding the Fourth Proportional to 30,524.48, 45,780.54 and 8,336.01

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Solution

The fourth proportional to 30,524.48, 45,780.54 and 8,336.01 is: 12,502.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,524.48 : 45,780.54 = 8,336.01 : x
  2. Step 2: Convert to fraction form
    30,524.48/45,780.54 = 8,336.01/x
  3. Step 3: Cross multiply
    30,524.48x = 45,780.54 × 8,336.01
  4. Step 4: Simplify right side
    30,524.48x = 381,627,039.25
  5. Step 5: Solve for x
    x = 381,627,039.25/30,524.48
  6. Step 6: Final answer
    x = 12,502.33

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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.