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Finding the Fourth Proportional to 47,615.30, 71,427.81 and 16,446.50

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Solution

The fourth proportional to 47,615.30, 71,427.81 and 16,446.50 is: 24,671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,615.30 : 71,427.81 = 16,446.50 : x
  2. Step 2: Convert to fraction form
    47,615.30/71,427.81 = 16,446.50/x
  3. Step 3: Cross multiply
    47,615.30x = 71,427.81 × 16,446.50
  4. Step 4: Simplify right side
    47,615.30x = 1,174,737,477.17
  5. Step 5: Solve for x
    x = 1,174,737,477.17/47,615.30
  6. Step 6: Final answer
    x = 24,671.43

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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.