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Finding the Fourth Proportional to 47,698.74, 71,549.49 and 12,638.40

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Solution

The fourth proportional to 47,698.74, 71,549.49 and 12,638.40 is: 18,957.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,698.74 : 71,549.49 = 12,638.40 : x
  2. Step 2: Convert to fraction form
    47,698.74/71,549.49 = 12,638.40/x
  3. Step 3: Cross multiply
    47,698.74x = 71,549.49 × 12,638.40
  4. Step 4: Simplify right side
    47,698.74x = 904,270,853.50
  5. Step 5: Solve for x
    x = 904,270,853.50/47,698.74
  6. Step 6: Final answer
    x = 18,957.96

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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.