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Finding the Fourth Proportional to 31,070.46, 46,606.17 and 17,306.94

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Solution

The fourth proportional to 31,070.46, 46,606.17 and 17,306.94 is: 25,960.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070.46 : 46,606.17 = 17,306.94 : x
  2. Step 2: Convert to fraction form
    31,070.46/46,606.17 = 17,306.94/x
  3. Step 3: Cross multiply
    31,070.46x = 46,606.17 × 17,306.94
  4. Step 4: Simplify right side
    31,070.46x = 806,610,187.82
  5. Step 5: Solve for x
    x = 806,610,187.82/31,070.46
  6. Step 6: Final answer
    x = 25,960.68

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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.