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Finding the Fourth Proportional to 48,107.71, 72,167.72 and 18,534

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Solution

The fourth proportional to 48,107.71, 72,167.72 and 18,534 is: 27,803.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,107.71 : 72,167.72 = 18,534 : x
  2. Step 2: Convert to fraction form
    48,107.71/72,167.72 = 18,534/x
  3. Step 3: Cross multiply
    48,107.71x = 72,167.72 × 18,534
  4. Step 4: Simplify right side
    48,107.71x = 1,337,556,522.48
  5. Step 5: Solve for x
    x = 1,337,556,522.48/48,107.71
  6. Step 6: Final answer
    x = 27,803.37

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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.