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Finding the Fourth Proportional to 37,457.68, 51,679.20 and 24,717.19

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Solution

The fourth proportional to 37,457.68, 51,679.20 and 24,717.19 is: 34,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,457.68 : 51,679.20 = 24,717.19 : x
  2. Step 2: Convert to fraction form
    37,457.68/51,679.20 = 24,717.19/x
  3. Step 3: Cross multiply
    37,457.68x = 51,679.20 × 24,717.19
  4. Step 4: Simplify right side
    37,457.68x = 1,277,364,605.45
  5. Step 5: Solve for x
    x = 1,277,364,605.45/37,457.68
  6. Step 6: Final answer
    x = 34,101.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.