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Finding the Fourth Proportional to 37,419.80, 56,129.70 and 9,717.80

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Solution

The fourth proportional to 37,419.80, 56,129.70 and 9,717.80 is: 14,576.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,419.80 : 56,129.70 = 9,717.80 : x
  2. Step 2: Convert to fraction form
    37,419.80/56,129.70 = 9,717.80/x
  3. Step 3: Cross multiply
    37,419.80x = 56,129.70 × 9,717.80
  4. Step 4: Simplify right side
    37,419.80x = 545,457,198.66
  5. Step 5: Solve for x
    x = 545,457,198.66/37,419.80
  6. Step 6: Final answer
    x = 14,576.70

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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.