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Finding the Fourth Proportional to 75,180.84, 112,761.84 and 24,575.63

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Solution

The fourth proportional to 75,180.84, 112,761.84 and 24,575.63 is: 36,860.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,180.84 : 112,761.84 = 24,575.63 : x
  2. Step 2: Convert to fraction form
    75,180.84/112,761.84 = 24,575.63/x
  3. Step 3: Cross multiply
    75,180.84x = 112,761.84 × 24,575.63
  4. Step 4: Simplify right side
    75,180.84x = 2,771,193,017.05
  5. Step 5: Solve for x
    x = 2,771,193,017.05/75,180.84
  6. Step 6: Final answer
    x = 36,860.36

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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.