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Finding the Fourth Proportional to 49,597.35, 74,302.26 and 38,449.46

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Solution

The fourth proportional to 49,597.35, 74,302.26 and 38,449.46 is: 57,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,597.35 : 74,302.26 = 38,449.46 : x
  2. Step 2: Convert to fraction form
    49,597.35/74,302.26 = 38,449.46/x
  3. Step 3: Cross multiply
    49,597.35x = 74,302.26 × 38,449.46
  4. Step 4: Simplify right side
    49,597.35x = 2,856,881,402.27
  5. Step 5: Solve for x
    x = 2,856,881,402.27/49,597.35
  6. Step 6: Final answer
    x = 57,601.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.