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Finding the Fourth Proportional to 31,046.46, 42,894.30 and 21,656.94

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Solution

The fourth proportional to 31,046.46, 42,894.30 and 21,656.94 is: 29,921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046.46 : 42,894.30 = 21,656.94 : x
  2. Step 2: Convert to fraction form
    31,046.46/42,894.30 = 21,656.94/x
  3. Step 3: Cross multiply
    31,046.46x = 42,894.30 × 21,656.94
  4. Step 4: Simplify right side
    31,046.46x = 928,959,281.44
  5. Step 5: Solve for x
    x = 928,959,281.44/31,046.46
  6. Step 6: Final answer
    x = 29,921.58

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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.