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Finding the Fourth Proportional to 42,523.77, 63,785.60 and 14,446.74

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Solution

The fourth proportional to 42,523.77, 63,785.60 and 14,446.74 is: 21,670.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,523.77 : 63,785.60 = 14,446.74 : x
  2. Step 2: Convert to fraction form
    42,523.77/63,785.60 = 14,446.74/x
  3. Step 3: Cross multiply
    42,523.77x = 63,785.60 × 14,446.74
  4. Step 4: Simplify right side
    42,523.77x = 921,493,906.71
  5. Step 5: Solve for x
    x = 921,493,906.71/42,523.77
  6. Step 6: Final answer
    x = 21,670.09

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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.