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Finding the Fourth Proportional to 47,274.30, 65,237.65 and 25,764.22

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Solution

The fourth proportional to 47,274.30, 65,237.65 and 25,764.22 is: 35,554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,274.30 : 65,237.65 = 25,764.22 : x
  2. Step 2: Convert to fraction form
    47,274.30/65,237.65 = 25,764.22/x
  3. Step 3: Cross multiply
    47,274.30x = 65,237.65 × 25,764.22
  4. Step 4: Simplify right side
    47,274.30x = 1,680,796,939.38
  5. Step 5: Solve for x
    x = 1,680,796,939.38/47,274.30
  6. Step 6: Final answer
    x = 35,554.14

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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.