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Finding the Fourth Proportional to 30,378.53, 45,567.39 and 10,387.82

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Solution

The fourth proportional to 30,378.53, 45,567.39 and 10,387.82 is: 15,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.53 : 45,567.39 = 10,387.82 : x
  2. Step 2: Convert to fraction form
    30,378.53/45,567.39 = 10,387.82/x
  3. Step 3: Cross multiply
    30,378.53x = 45,567.39 × 10,387.82
  4. Step 4: Simplify right side
    30,378.53x = 473,345,617.35
  5. Step 5: Solve for x
    x = 473,345,617.35/30,378.53
  6. Step 6: Final answer
    x = 15,581.59

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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.