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Finding the Fourth Proportional to 30,443.30, 45,672.15 and 9,666.80

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Solution

The fourth proportional to 30,443.30, 45,672.15 and 9,666.80 is: 14,502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,443.30 : 45,672.15 = 9,666.80 : x
  2. Step 2: Convert to fraction form
    30,443.30/45,672.15 = 9,666.80/x
  3. Step 3: Cross multiply
    30,443.30x = 45,672.15 × 9,666.80
  4. Step 4: Simplify right side
    30,443.30x = 441,503,539.62
  5. Step 5: Solve for x
    x = 441,503,539.62/30,443.30
  6. Step 6: Final answer
    x = 14,502.49

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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.