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Finding the Fourth Proportional to 30,571.82, 45,854.14 and 8,387.44

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Solution

The fourth proportional to 30,571.82, 45,854.14 and 8,387.44 is: 12,580.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,571.82 : 45,854.14 = 8,387.44 : x
  2. Step 2: Convert to fraction form
    30,571.82/45,854.14 = 8,387.44/x
  3. Step 3: Cross multiply
    30,571.82x = 45,854.14 × 8,387.44
  4. Step 4: Simplify right side
    30,571.82x = 384,598,848.00
  5. Step 5: Solve for x
    x = 384,598,848.00/30,571.82
  6. Step 6: Final answer
    x = 12,580.18

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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.