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Finding the Fourth Proportional to 23,085, 34,624.46 and 9,035.35

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Solution

The fourth proportional to 23,085, 34,624.46 and 9,035.35 is: 13,551.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,085 : 34,624.46 = 9,035.35 : x
  2. Step 2: Convert to fraction form
    23,085/34,624.46 = 9,035.35/x
  3. Step 3: Cross multiply
    23,085x = 34,624.46 × 9,035.35
  4. Step 4: Simplify right side
    23,085x = 312,844,050.69
  5. Step 5: Solve for x
    x = 312,844,050.69/23,085
  6. Step 6: Final answer
    x = 13,551.83

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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.