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Finding the Fourth Proportional to 31,274.92, 46,886.46 and 11,549.80

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Solution

The fourth proportional to 31,274.92, 46,886.46 and 11,549.80 is: 17,315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,274.92 : 46,886.46 = 11,549.80 : x
  2. Step 2: Convert to fraction form
    31,274.92/46,886.46 = 11,549.80/x
  3. Step 3: Cross multiply
    31,274.92x = 46,886.46 × 11,549.80
  4. Step 4: Simplify right side
    31,274.92x = 541,529,235.71
  5. Step 5: Solve for x
    x = 541,529,235.71/31,274.92
  6. Step 6: Final answer
    x = 17,315.13

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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.