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Finding the Fourth Proportional to 29,960, 44,947.20 and 11,492

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Solution

The fourth proportional to 29,960, 44,947.20 and 11,492 is: 17,240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,960 : 44,947.20 = 11,492 : x
  2. Step 2: Convert to fraction form
    29,960/44,947.20 = 11,492/x
  3. Step 3: Cross multiply
    29,960x = 44,947.20 × 11,492
  4. Step 4: Simplify right side
    29,960x = 516,533,222.40
  5. Step 5: Solve for x
    x = 516,533,222.40/29,960
  6. Step 6: Final answer
    x = 17,240.76

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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.