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Finding the Fourth Proportional to 29,961.27, 44,941.90 and 10,240

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Solution

The fourth proportional to 29,961.27, 44,941.90 and 10,240 is: 15,360.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,961.27 : 44,941.90 = 10,240 : x
  2. Step 2: Convert to fraction form
    29,961.27/44,941.90 = 10,240/x
  3. Step 3: Cross multiply
    29,961.27x = 44,941.90 × 10,240
  4. Step 4: Simplify right side
    29,961.27x = 460,205,056
  5. Step 5: Solve for x
    x = 460,205,056/29,961.27
  6. Step 6: Final answer
    x = 15,360.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.