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Finding the Fourth Proportional to 37,634.63, 56,419.74 and 15,434.15

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Solution

The fourth proportional to 37,634.63, 56,419.74 and 15,434.15 is: 23,138.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,634.63 : 56,419.74 = 15,434.15 : x
  2. Step 2: Convert to fraction form
    37,634.63/56,419.74 = 15,434.15/x
  3. Step 3: Cross multiply
    37,634.63x = 56,419.74 × 15,434.15
  4. Step 4: Simplify right side
    37,634.63x = 870,790,448.02
  5. Step 5: Solve for x
    x = 870,790,448.02/37,634.63
  6. Step 6: Final answer
    x = 23,138.01

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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.