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Finding the Fourth Proportional to 47,752.62, 65,899.00 and 29,858.00

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Solution

The fourth proportional to 47,752.62, 65,899.00 and 29,858.00 is: 41,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,752.62 : 65,899.00 = 29,858.00 : x
  2. Step 2: Convert to fraction form
    47,752.62/65,899.00 = 29,858.00/x
  3. Step 3: Cross multiply
    47,752.62x = 65,899.00 × 29,858.00
  4. Step 4: Simplify right side
    47,752.62x = 1,967,612,049.83
  5. Step 5: Solve for x
    x = 1,967,612,049.83/47,752.62
  6. Step 6: Final answer
    x = 41,204.28

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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.