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Finding the Fourth Proportional to 32,970.67, 49,462.09 and 10,785.22

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Solution

The fourth proportional to 32,970.67, 49,462.09 and 10,785.22 is: 16,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970.67 : 49,462.09 = 10,785.22 : x
  2. Step 2: Convert to fraction form
    32,970.67/49,462.09 = 10,785.22/x
  3. Step 3: Cross multiply
    32,970.67x = 49,462.09 × 10,785.22
  4. Step 4: Simplify right side
    32,970.67x = 533,459,371.69
  5. Step 5: Solve for x
    x = 533,459,371.69/32,970.67
  6. Step 6: Final answer
    x = 16,179.82

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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.