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Finding the Fourth Proportional to 31,744.36, 47,574.75 and 17,710.99

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Solution

The fourth proportional to 31,744.36, 47,574.75 and 17,710.99 is: 26,543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744.36 : 47,574.75 = 17,710.99 : x
  2. Step 2: Convert to fraction form
    31,744.36/47,574.75 = 17,710.99/x
  3. Step 3: Cross multiply
    31,744.36x = 47,574.75 × 17,710.99
  4. Step 4: Simplify right side
    31,744.36x = 842,596,136.59
  5. Step 5: Solve for x
    x = 842,596,136.59/31,744.36
  6. Step 6: Final answer
    x = 26,543.18

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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.