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Finding the Fourth Proportional to 70,537.54, 105,812.46 and 23,138.42

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Solution

The fourth proportional to 70,537.54, 105,812.46 and 23,138.42 is: 34,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,537.54 : 105,812.46 = 23,138.42 : x
  2. Step 2: Convert to fraction form
    70,537.54/105,812.46 = 23,138.42/x
  3. Step 3: Cross multiply
    70,537.54x = 105,812.46 × 23,138.42
  4. Step 4: Simplify right side
    70,537.54x = 2,448,333,140.71
  5. Step 5: Solve for x
    x = 2,448,333,140.71/70,537.54
  6. Step 6: Final answer
    x = 34,709.65

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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.