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Finding the Fourth Proportional to 45,784.38, 63,186.46 and 25,640.94

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Solution

The fourth proportional to 45,784.38, 63,186.46 and 25,640.94 is: 35,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,784.38 : 63,186.46 = 25,640.94 : x
  2. Step 2: Convert to fraction form
    45,784.38/63,186.46 = 25,640.94/x
  3. Step 3: Cross multiply
    45,784.38x = 63,186.46 × 25,640.94
  4. Step 4: Simplify right side
    45,784.38x = 1,620,160,229.67
  5. Step 5: Solve for x
    x = 1,620,160,229.67/45,784.38
  6. Step 6: Final answer
    x = 35,386.75

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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.