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Finding the Fourth Proportional to 47,174.90, 65,096.00 and 25,952.90

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Solution

The fourth proportional to 47,174.90, 65,096.00 and 25,952.90 is: 35,812.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,174.90 : 65,096.00 = 25,952.90 : x
  2. Step 2: Convert to fraction form
    47,174.90/65,096.00 = 25,952.90/x
  3. Step 3: Cross multiply
    47,174.90x = 65,096.00 × 25,952.90
  4. Step 4: Simplify right side
    47,174.90x = 1,689,429,523.16
  5. Step 5: Solve for x
    x = 1,689,429,523.16/47,174.90
  6. Step 6: Final answer
    x = 35,812.05

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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.