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Finding the Fourth Proportional to 47,564.98, 71,347.47 and 12,504.58

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Solution

The fourth proportional to 47,564.98, 71,347.47 and 12,504.58 is: 18,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,564.98 : 71,347.47 = 12,504.58 : x
  2. Step 2: Convert to fraction form
    47,564.98/71,347.47 = 12,504.58/x
  3. Step 3: Cross multiply
    47,564.98x = 71,347.47 × 12,504.58
  4. Step 4: Simplify right side
    47,564.98x = 892,170,146.41
  5. Step 5: Solve for x
    x = 892,170,146.41/47,564.98
  6. Step 6: Final answer
    x = 18,756.87

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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.