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Finding the Fourth Proportional to 47,973.70, 71,960.05 and 16,383.40

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Solution

The fourth proportional to 47,973.70, 71,960.05 and 16,383.40 is: 24,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,973.70 : 71,960.05 = 16,383.40 : x
  2. Step 2: Convert to fraction form
    47,973.70/71,960.05 = 16,383.40/x
  3. Step 3: Cross multiply
    47,973.70x = 71,960.05 × 16,383.40
  4. Step 4: Simplify right side
    47,973.70x = 1,178,950,422.11
  5. Step 5: Solve for x
    x = 1,178,950,422.11/47,973.70
  6. Step 6: Final answer
    x = 24,574.93

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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.