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Finding the Fourth Proportional to 31,349.46, 46,991.10 and 10,284

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Solution

The fourth proportional to 31,349.46, 46,991.10 and 10,284 is: 15,415.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,349.46 : 46,991.10 = 10,284 : x
  2. Step 2: Convert to fraction form
    31,349.46/46,991.10 = 10,284/x
  3. Step 3: Cross multiply
    31,349.46x = 46,991.10 × 10,284
  4. Step 4: Simplify right side
    31,349.46x = 483,256,472.40
  5. Step 5: Solve for x
    x = 483,256,472.40/31,349.46
  6. Step 6: Final answer
    x = 15,415.15

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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.