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Finding the Fourth Proportional to 74,415.84, 111,625.20 and 29,436

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Solution

The fourth proportional to 74,415.84, 111,625.20 and 29,436 is: 44,154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,415.84 : 111,625.20 = 29,436 : x
  2. Step 2: Convert to fraction form
    74,415.84/111,625.20 = 29,436/x
  3. Step 3: Cross multiply
    74,415.84x = 111,625.20 × 29,436
  4. Step 4: Simplify right side
    74,415.84x = 3,285,799,387.20
  5. Step 5: Solve for x
    x = 3,285,799,387.20/74,415.84
  6. Step 6: Final answer
    x = 44,154.57

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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.