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Finding the Fourth Proportional to 31,127.40, 46,658.70 and 17,065.80

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Solution

The fourth proportional to 31,127.40, 46,658.70 and 17,065.80 is: 25,580.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,127.40 : 46,658.70 = 17,065.80 : x
  2. Step 2: Convert to fraction form
    31,127.40/46,658.70 = 17,065.80/x
  3. Step 3: Cross multiply
    31,127.40x = 46,658.70 × 17,065.80
  4. Step 4: Simplify right side
    31,127.40x = 796,268,042.46
  5. Step 5: Solve for x
    x = 796,268,042.46/31,127.40
  6. Step 6: Final answer
    x = 25,580.94

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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.