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Finding the Fourth Proportional to 45,806.56, 63,200.16 and 27,902.08

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Solution

The fourth proportional to 45,806.56, 63,200.16 and 27,902.08 is: 38,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,806.56 : 63,200.16 = 27,902.08 : x
  2. Step 2: Convert to fraction form
    45,806.56/63,200.16 = 27,902.08/x
  3. Step 3: Cross multiply
    45,806.56x = 63,200.16 × 27,902.08
  4. Step 4: Simplify right side
    45,806.56x = 1,763,415,920.33
  5. Step 5: Solve for x
    x = 1,763,415,920.33/45,806.56
  6. Step 6: Final answer
    x = 38,497.02

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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.