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Finding the Fourth Proportional to 49,196.64, 67,849.20 and 32,412

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Solution

The fourth proportional to 49,196.64, 67,849.20 and 32,412 is: 44,700.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,196.64 : 67,849.20 = 32,412 : x
  2. Step 2: Convert to fraction form
    49,196.64/67,849.20 = 32,412/x
  3. Step 3: Cross multiply
    49,196.64x = 67,849.20 × 32,412
  4. Step 4: Simplify right side
    49,196.64x = 2,199,128,270.40
  5. Step 5: Solve for x
    x = 2,199,128,270.40/49,196.64
  6. Step 6: Final answer
    x = 44,700.78

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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.