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Finding the Fourth Proportional to 98,540.64, 135,984 and 56,098.56

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Solution

The fourth proportional to 98,540.64, 135,984 and 56,098.56 is: 77,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,540.64 : 135,984 = 56,098.56 : x
  2. Step 2: Convert to fraction form
    98,540.64/135,984 = 56,098.56/x
  3. Step 3: Cross multiply
    98,540.64x = 135,984 × 56,098.56
  4. Step 4: Simplify right side
    98,540.64x = 7,628,506,583.04
  5. Step 5: Solve for x
    x = 7,628,506,583.04/98,540.64
  6. Step 6: Final answer
    x = 77,414.83

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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.