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Finding the Fourth Proportional to 73,702.49, 101,712.26 and 40,168.49

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Solution

The fourth proportional to 73,702.49, 101,712.26 and 40,168.49 is: 55,434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,702.49 : 101,712.26 = 40,168.49 : x
  2. Step 2: Convert to fraction form
    73,702.49/101,712.26 = 40,168.49/x
  3. Step 3: Cross multiply
    73,702.49x = 101,712.26 × 40,168.49
  4. Step 4: Simplify right side
    73,702.49x = 4,085,627,697.84
  5. Step 5: Solve for x
    x = 4,085,627,697.84/73,702.49
  6. Step 6: Final answer
    x = 55,434.05

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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.