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Finding the Fourth Proportional to 31,147.72, 46,673.74 and 21,139.46

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Solution

The fourth proportional to 31,147.72, 46,673.74 and 21,139.46 is: 31,676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,147.72 : 46,673.74 = 21,139.46 : x
  2. Step 2: Convert to fraction form
    31,147.72/46,673.74 = 21,139.46/x
  3. Step 3: Cross multiply
    31,147.72x = 46,673.74 × 21,139.46
  4. Step 4: Simplify right side
    31,147.72x = 986,657,554.08
  5. Step 5: Solve for x
    x = 986,657,554.08/31,147.72
  6. Step 6: Final answer
    x = 31,676.72

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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.