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Finding the Fourth Proportional to 31,274.04, 46,918.08 and 10,497

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Solution

The fourth proportional to 31,274.04, 46,918.08 and 10,497 is: 15,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,274.04 : 46,918.08 = 10,497 : x
  2. Step 2: Convert to fraction form
    31,274.04/46,918.08 = 10,497/x
  3. Step 3: Cross multiply
    31,274.04x = 46,918.08 × 10,497
  4. Step 4: Simplify right side
    31,274.04x = 492,499,085.76
  5. Step 5: Solve for x
    x = 492,499,085.76/31,274.04
  6. Step 6: Final answer
    x = 15,747.86

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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.