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Finding the Fourth Proportional to 47,357.88, 65,354.01 and 25,847.82

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Solution

The fourth proportional to 47,357.88, 65,354.01 and 25,847.82 is: 35,670.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,357.88 : 65,354.01 = 25,847.82 : x
  2. Step 2: Convert to fraction form
    47,357.88/65,354.01 = 25,847.82/x
  3. Step 3: Cross multiply
    47,357.88x = 65,354.01 × 25,847.82
  4. Step 4: Simplify right side
    47,357.88x = 1,689,258,622.14
  5. Step 5: Solve for x
    x = 1,689,258,622.14/47,357.88
  6. Step 6: Final answer
    x = 35,670.07

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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.