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Finding the Fourth Proportional to 30,392.52, 45,588.78 and 8,205.87

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Solution

The fourth proportional to 30,392.52, 45,588.78 and 8,205.87 is: 12,308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,392.52 : 45,588.78 = 8,205.87 : x
  2. Step 2: Convert to fraction form
    30,392.52/45,588.78 = 8,205.87/x
  3. Step 3: Cross multiply
    30,392.52x = 45,588.78 × 8,205.87
  4. Step 4: Simplify right side
    30,392.52x = 374,095,602.14
  5. Step 5: Solve for x
    x = 374,095,602.14/30,392.52
  6. Step 6: Final answer
    x = 12,308.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.