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Finding the Fourth Proportional to 47,768.40, 71,652.60 and 41,207.40

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Solution

The fourth proportional to 47,768.40, 71,652.60 and 41,207.40 is: 61,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,768.40 : 71,652.60 = 41,207.40 : x
  2. Step 2: Convert to fraction form
    47,768.40/71,652.60 = 41,207.40/x
  3. Step 3: Cross multiply
    47,768.40x = 71,652.60 × 41,207.40
  4. Step 4: Simplify right side
    47,768.40x = 2,952,617,349.24
  5. Step 5: Solve for x
    x = 2,952,617,349.24/47,768.40
  6. Step 6: Final answer
    x = 61,811.10

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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.