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Finding the Fourth Proportional to 35,641.01, 49,098.96 and 29,975.87

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Solution

The fourth proportional to 35,641.01, 49,098.96 and 29,975.87 is: 41,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,641.01 : 49,098.96 = 29,975.87 : x
  2. Step 2: Convert to fraction form
    35,641.01/49,098.96 = 29,975.87/x
  3. Step 3: Cross multiply
    35,641.01x = 49,098.96 × 29,975.87
  4. Step 4: Simplify right side
    35,641.01x = 1,471,784,164.84
  5. Step 5: Solve for x
    x = 1,471,784,164.84/35,641.01
  6. Step 6: Final answer
    x = 41,294.68

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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.