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Finding the Fourth Proportional to 110,823.84, 166,214.88 and 29,772

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Solution

The fourth proportional to 110,823.84, 166,214.88 and 29,772 is: 44,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,823.84 : 166,214.88 = 29,772 : x
  2. Step 2: Convert to fraction form
    110,823.84/166,214.88 = 29,772/x
  3. Step 3: Cross multiply
    110,823.84x = 166,214.88 × 29,772
  4. Step 4: Simplify right side
    110,823.84x = 4,948,549,407.36
  5. Step 5: Solve for x
    x = 4,948,549,407.36/110,823.84
  6. Step 6: Final answer
    x = 44,652.39

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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.