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Finding the Fourth Proportional to 31,764.60, 47,646.90 and 8,072.10

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Solution

The fourth proportional to 31,764.60, 47,646.90 and 8,072.10 is: 12,108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,764.60 : 47,646.90 = 8,072.10 : x
  2. Step 2: Convert to fraction form
    31,764.60/47,646.90 = 8,072.10/x
  3. Step 3: Cross multiply
    31,764.60x = 47,646.90 × 8,072.10
  4. Step 4: Simplify right side
    31,764.60x = 384,610,541.49
  5. Step 5: Solve for x
    x = 384,610,541.49/31,764.60
  6. Step 6: Final answer
    x = 12,108.15

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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.