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Finding the Fourth Proportional to 57,809.46, 86,623.47 and 34,423.14

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Solution

The fourth proportional to 57,809.46, 86,623.47 and 34,423.14 is: 51,580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,809.46 : 86,623.47 = 34,423.14 : x
  2. Step 2: Convert to fraction form
    57,809.46/86,623.47 = 34,423.14/x
  3. Step 3: Cross multiply
    57,809.46x = 86,623.47 × 34,423.14
  4. Step 4: Simplify right side
    57,809.46x = 2,981,851,835.10
  5. Step 5: Solve for x
    x = 2,981,851,835.10/57,809.46
  6. Step 6: Final answer
    x = 51,580.69

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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.