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Finding the Fourth Proportional to 36,706.50, 55,060.02 and 9,004.50

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Solution

The fourth proportional to 36,706.50, 55,060.02 and 9,004.50 is: 13,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,706.50 : 55,060.02 = 9,004.50 : x
  2. Step 2: Convert to fraction form
    36,706.50/55,060.02 = 9,004.50/x
  3. Step 3: Cross multiply
    36,706.50x = 55,060.02 × 9,004.50
  4. Step 4: Simplify right side
    36,706.50x = 495,787,950.09
  5. Step 5: Solve for x
    x = 495,787,950.09/36,706.50
  6. Step 6: Final answer
    x = 13,506.82

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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.