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Finding the Fourth Proportional to 47,290.92, 65,259.80 and 25,780.22

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Solution

The fourth proportional to 47,290.92, 65,259.80 and 25,780.22 is: 35,575.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,290.92 : 65,259.80 = 25,780.22 : x
  2. Step 2: Convert to fraction form
    47,290.92/65,259.80 = 25,780.22/x
  3. Step 3: Cross multiply
    47,290.92x = 65,259.80 × 25,780.22
  4. Step 4: Simplify right side
    47,290.92x = 1,682,411,872.25
  5. Step 5: Solve for x
    x = 1,682,411,872.25/47,290.92
  6. Step 6: Final answer
    x = 35,575.79

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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.