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Finding the Fourth Proportional to 36,706, 55,059.56 and 9,004

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Solution

The fourth proportional to 36,706, 55,059.56 and 9,004 is: 13,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,706 : 55,059.56 = 9,004 : x
  2. Step 2: Convert to fraction form
    36,706/55,059.56 = 9,004/x
  3. Step 3: Cross multiply
    36,706x = 55,059.56 × 9,004
  4. Step 4: Simplify right side
    36,706x = 495,756,278.24
  5. Step 5: Solve for x
    x = 495,756,278.24/36,706
  6. Step 6: Final answer
    x = 13,506.14

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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.