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Finding the Fourth Proportional to 30,387.72, 45,582 and 10,666.44

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Solution

The fourth proportional to 30,387.72, 45,582 and 10,666.44 is: 15,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,387.72 : 45,582 = 10,666.44 : x
  2. Step 2: Convert to fraction form
    30,387.72/45,582 = 10,666.44/x
  3. Step 3: Cross multiply
    30,387.72x = 45,582 × 10,666.44
  4. Step 4: Simplify right side
    30,387.72x = 486,197,668.08
  5. Step 5: Solve for x
    x = 486,197,668.08/30,387.72
  6. Step 6: Final answer
    x = 15,999.81

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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.