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Finding the Fourth Proportional to 47,412.10, 65,426.07 and 29,506.54

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Solution

The fourth proportional to 47,412.10, 65,426.07 and 29,506.54 is: 40,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,412.10 : 65,426.07 = 29,506.54 : x
  2. Step 2: Convert to fraction form
    47,412.10/65,426.07 = 29,506.54/x
  3. Step 3: Cross multiply
    47,412.10x = 65,426.07 × 29,506.54
  4. Step 4: Simplify right side
    47,412.10x = 1,930,496,951.50
  5. Step 5: Solve for x
    x = 1,930,496,951.50/47,412.10
  6. Step 6: Final answer
    x = 40,717.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.