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Finding the Fourth Proportional to 37,084.42, 55,626.12 and 9,004.69

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Solution

The fourth proportional to 37,084.42, 55,626.12 and 9,004.69 is: 13,506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,084.42 : 55,626.12 = 9,004.69 : x
  2. Step 2: Convert to fraction form
    37,084.42/55,626.12 = 9,004.69/x
  3. Step 3: Cross multiply
    37,084.42x = 55,626.12 × 9,004.69
  4. Step 4: Simplify right side
    37,084.42x = 500,895,966.50
  5. Step 5: Solve for x
    x = 500,895,966.50/37,084.42
  6. Step 6: Final answer
    x = 13,506.91

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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.