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Finding the Fourth Proportional to 47,679.04, 71,502.36 and 16,507

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Solution

The fourth proportional to 47,679.04, 71,502.36 and 16,507 is: 24,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,679.04 : 71,502.36 = 16,507 : x
  2. Step 2: Convert to fraction form
    47,679.04/71,502.36 = 16,507/x
  3. Step 3: Cross multiply
    47,679.04x = 71,502.36 × 16,507
  4. Step 4: Simplify right side
    47,679.04x = 1,180,289,456.52
  5. Step 5: Solve for x
    x = 1,180,289,456.52/47,679.04
  6. Step 6: Final answer
    x = 24,754.89

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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.