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Finding the Fourth Proportional to 30,165.87, 45,275.21 and 16,137.07

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Solution

The fourth proportional to 30,165.87, 45,275.21 and 16,137.07 is: 24,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,165.87 : 45,275.21 = 16,137.07 : x
  2. Step 2: Convert to fraction form
    30,165.87/45,275.21 = 16,137.07/x
  3. Step 3: Cross multiply
    30,165.87x = 45,275.21 × 16,137.07
  4. Step 4: Simplify right side
    30,165.87x = 730,609,152.35
  5. Step 5: Solve for x
    x = 730,609,152.35/30,165.87
  6. Step 6: Final answer
    x = 24,219.73

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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.