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Finding the Fourth Proportional to 74,196.82, 102,392 and 40,205.32

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Solution

The fourth proportional to 74,196.82, 102,392 and 40,205.32 is: 55,483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,196.82 : 102,392 = 40,205.32 : x
  2. Step 2: Convert to fraction form
    74,196.82/102,392 = 40,205.32/x
  3. Step 3: Cross multiply
    74,196.82x = 102,392 × 40,205.32
  4. Step 4: Simplify right side
    74,196.82x = 4,116,703,125.44
  5. Step 5: Solve for x
    x = 4,116,703,125.44/74,196.82
  6. Step 6: Final answer
    x = 55,483.55

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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.