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Finding the Fourth Proportional to 31,145.65, 42,980.39 and 16,998.59

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Solution

The fourth proportional to 31,145.65, 42,980.39 and 16,998.59 is: 23,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,145.65 : 42,980.39 = 16,998.59 : x
  2. Step 2: Convert to fraction form
    31,145.65/42,980.39 = 16,998.59/x
  3. Step 3: Cross multiply
    31,145.65x = 42,980.39 × 16,998.59
  4. Step 4: Simplify right side
    31,145.65x = 730,606,177.60
  5. Step 5: Solve for x
    x = 730,606,177.60/31,145.65
  6. Step 6: Final answer
    x = 23,457.73

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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.