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Finding the Fourth Proportional to 30,183.52, 45,265.02 and 10,457.47

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Solution

The fourth proportional to 30,183.52, 45,265.02 and 10,457.47 is: 15,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,183.52 : 45,265.02 = 10,457.47 : x
  2. Step 2: Convert to fraction form
    30,183.52/45,265.02 = 10,457.47/x
  3. Step 3: Cross multiply
    30,183.52x = 45,265.02 × 10,457.47
  4. Step 4: Simplify right side
    30,183.52x = 473,357,599.62
  5. Step 5: Solve for x
    x = 473,357,599.62/30,183.52
  6. Step 6: Final answer
    x = 15,682.65

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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.