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Finding the Fourth Proportional to 53,196.32, 73,414.68 and 30,539

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Solution

The fourth proportional to 53,196.32, 73,414.68 and 30,539 is: 42,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,196.32 : 73,414.68 = 30,539 : x
  2. Step 2: Convert to fraction form
    53,196.32/73,414.68 = 30,539/x
  3. Step 3: Cross multiply
    53,196.32x = 73,414.68 × 30,539
  4. Step 4: Simplify right side
    53,196.32x = 2,242,010,912.52
  5. Step 5: Solve for x
    x = 2,242,010,912.52/53,196.32
  6. Step 6: Final answer
    x = 42,145.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.