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Finding the Fourth Proportional to 35,742.64, 49,323 and 19,826.74

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Solution

The fourth proportional to 35,742.64, 49,323 and 19,826.74 is: 27,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,742.64 : 49,323 = 19,826.74 : x
  2. Step 2: Convert to fraction form
    35,742.64/49,323 = 19,826.74/x
  3. Step 3: Cross multiply
    35,742.64x = 49,323 × 19,826.74
  4. Step 4: Simplify right side
    35,742.64x = 977,914,297.02
  5. Step 5: Solve for x
    x = 977,914,297.02/35,742.64
  6. Step 6: Final answer
    x = 27,359.88

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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.