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Finding the Fourth Proportional to 30,276.11, 45,411.84 and 13,414.34

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Solution

The fourth proportional to 30,276.11, 45,411.84 and 13,414.34 is: 20,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,276.11 : 45,411.84 = 13,414.34 : x
  2. Step 2: Convert to fraction form
    30,276.11/45,411.84 = 13,414.34/x
  3. Step 3: Cross multiply
    30,276.11x = 45,411.84 × 13,414.34
  4. Step 4: Simplify right side
    30,276.11x = 609,169,975.32
  5. Step 5: Solve for x
    x = 609,169,975.32/30,276.11
  6. Step 6: Final answer
    x = 20,120.48

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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.