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Finding the Fourth Proportional to 31,703.09, 47,523.11 and 17,669.50

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Solution

The fourth proportional to 31,703.09, 47,523.11 and 17,669.50 is: 26,486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,703.09 : 47,523.11 = 17,669.50 : x
  2. Step 2: Convert to fraction form
    31,703.09/47,523.11 = 17,669.50/x
  3. Step 3: Cross multiply
    31,703.09x = 47,523.11 × 17,669.50
  4. Step 4: Simplify right side
    31,703.09x = 839,709,384.99
  5. Step 5: Solve for x
    x = 839,709,384.99/31,703.09
  6. Step 6: Final answer
    x = 26,486.68

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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.