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Finding the Fourth Proportional to 53,774.98, 74,215.38 and 30,806.98

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Solution

The fourth proportional to 53,774.98, 74,215.38 and 30,806.98 is: 42,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,774.98 : 74,215.38 = 30,806.98 : x
  2. Step 2: Convert to fraction form
    53,774.98/74,215.38 = 30,806.98/x
  3. Step 3: Cross multiply
    53,774.98x = 74,215.38 × 30,806.98
  4. Step 4: Simplify right side
    53,774.98x = 2,286,351,727.35
  5. Step 5: Solve for x
    x = 2,286,351,727.35/53,774.98
  6. Step 6: Final answer
    x = 42,517.02

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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.