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Finding the Fourth Proportional to 23,731.38, 35,585.53 and 7,085.58

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Solution

The fourth proportional to 23,731.38, 35,585.53 and 7,085.58 is: 10,624.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,731.38 : 35,585.53 = 7,085.58 : x
  2. Step 2: Convert to fraction form
    23,731.38/35,585.53 = 7,085.58/x
  3. Step 3: Cross multiply
    23,731.38x = 35,585.53 × 7,085.58
  4. Step 4: Simplify right side
    23,731.38x = 252,143,968.50
  5. Step 5: Solve for x
    x = 252,143,968.50/23,731.38
  6. Step 6: Final answer
    x = 10,624.92

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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.