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Finding the Fourth Proportional to 31,047.84, 46,576.41 and 14,409.57

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Solution

The fourth proportional to 31,047.84, 46,576.41 and 14,409.57 is: 21,616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,047.84 : 46,576.41 = 14,409.57 : x
  2. Step 2: Convert to fraction form
    31,047.84/46,576.41 = 14,409.57/x
  3. Step 3: Cross multiply
    31,047.84x = 46,576.41 × 14,409.57
  4. Step 4: Simplify right side
    31,047.84x = 671,146,040.24
  5. Step 5: Solve for x
    x = 671,146,040.24/31,047.84
  6. Step 6: Final answer
    x = 21,616.51

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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.