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Finding the Fourth Proportional to 31,458.84, 47,204.46 and 29,228.10

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Solution

The fourth proportional to 31,458.84, 47,204.46 and 29,228.10 is: 43,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,458.84 : 47,204.46 = 29,228.10 : x
  2. Step 2: Convert to fraction form
    31,458.84/47,204.46 = 29,228.10/x
  3. Step 3: Cross multiply
    31,458.84x = 47,204.46 × 29,228.10
  4. Step 4: Simplify right side
    31,458.84x = 1,379,696,677.33
  5. Step 5: Solve for x
    x = 1,379,696,677.33/31,458.84
  6. Step 6: Final answer
    x = 43,857.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.