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Finding the Fourth Proportional to 49,004.38, 67,597.50 and 35,560

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Solution

The fourth proportional to 49,004.38, 67,597.50 and 35,560 is: 49,052.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,004.38 : 67,597.50 = 35,560 : x
  2. Step 2: Convert to fraction form
    49,004.38/67,597.50 = 35,560/x
  3. Step 3: Cross multiply
    49,004.38x = 67,597.50 × 35,560
  4. Step 4: Simplify right side
    49,004.38x = 2,403,767,100
  5. Step 5: Solve for x
    x = 2,403,767,100/49,004.38
  6. Step 6: Final answer
    x = 49,052.09

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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.