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Finding the Fourth Proportional to 30,382.47, 45,542.43 and 11,657.52

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Solution

The fourth proportional to 30,382.47, 45,542.43 and 11,657.52 is: 17,474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382.47 : 45,542.43 = 11,657.52 : x
  2. Step 2: Convert to fraction form
    30,382.47/45,542.43 = 11,657.52/x
  3. Step 3: Cross multiply
    30,382.47x = 45,542.43 × 11,657.52
  4. Step 4: Simplify right side
    30,382.47x = 530,911,788.57
  5. Step 5: Solve for x
    x = 530,911,788.57/30,382.47
  6. Step 6: Final answer
    x = 17,474.28

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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.