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Finding the Fourth Proportional to 29,821.35, 44,731.71 and 7,634.55

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Solution

The fourth proportional to 29,821.35, 44,731.71 and 7,634.55 is: 11,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,821.35 : 44,731.71 = 7,634.55 : x
  2. Step 2: Convert to fraction form
    29,821.35/44,731.71 = 7,634.55/x
  3. Step 3: Cross multiply
    29,821.35x = 44,731.71 × 7,634.55
  4. Step 4: Simplify right side
    29,821.35x = 341,506,476.58
  5. Step 5: Solve for x
    x = 341,506,476.58/29,821.35
  6. Step 6: Final answer
    x = 11,451.74

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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.