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Finding the Fourth Proportional to 30,620.72, 45,931.05 and 8,434.22

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Solution

The fourth proportional to 30,620.72, 45,931.05 and 8,434.22 is: 12,651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,620.72 : 45,931.05 = 8,434.22 : x
  2. Step 2: Convert to fraction form
    30,620.72/45,931.05 = 8,434.22/x
  3. Step 3: Cross multiply
    30,620.72x = 45,931.05 × 8,434.22
  4. Step 4: Simplify right side
    30,620.72x = 387,392,580.53
  5. Step 5: Solve for x
    x = 387,392,580.53/30,620.72
  6. Step 6: Final answer
    x = 12,651.32

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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.