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Finding the Fourth Proportional to 36,706.64, 55,059.92 and 10,411.61

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Solution

The fourth proportional to 36,706.64, 55,059.92 and 10,411.61 is: 15,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,706.64 : 55,059.92 = 10,411.61 : x
  2. Step 2: Convert to fraction form
    36,706.64/55,059.92 = 10,411.61/x
  3. Step 3: Cross multiply
    36,706.64x = 55,059.92 × 10,411.61
  4. Step 4: Simplify right side
    36,706.64x = 573,262,164.40
  5. Step 5: Solve for x
    x = 573,262,164.40/36,706.64
  6. Step 6: Final answer
    x = 15,617.40

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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.