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Finding the Fourth Proportional to 74,902.72, 103,364.32 and 41,368

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Solution

The fourth proportional to 74,902.72, 103,364.32 and 41,368 is: 57,087.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,902.72 : 103,364.32 = 41,368 : x
  2. Step 2: Convert to fraction form
    74,902.72/103,364.32 = 41,368/x
  3. Step 3: Cross multiply
    74,902.72x = 103,364.32 × 41,368
  4. Step 4: Simplify right side
    74,902.72x = 4,275,975,189.76
  5. Step 5: Solve for x
    x = 4,275,975,189.76/74,902.72
  6. Step 6: Final answer
    x = 57,087.05

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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.