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Finding the Fourth Proportional to 46,691.56, 64,422.30 and 27,815.32

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Solution

The fourth proportional to 46,691.56, 64,422.30 and 27,815.32 is: 38,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,691.56 : 64,422.30 = 27,815.32 : x
  2. Step 2: Convert to fraction form
    46,691.56/64,422.30 = 27,815.32/x
  3. Step 3: Cross multiply
    46,691.56x = 64,422.30 × 27,815.32
  4. Step 4: Simplify right side
    46,691.56x = 1,791,926,889.64
  5. Step 5: Solve for x
    x = 1,791,926,889.64/46,691.56
  6. Step 6: Final answer
    x = 38,377.96

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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.