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Finding the Fourth Proportional to 71,682.84, 107,523 and 24,934.68

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Solution

The fourth proportional to 71,682.84, 107,523 and 24,934.68 is: 37,401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,682.84 : 107,523 = 24,934.68 : x
  2. Step 2: Convert to fraction form
    71,682.84/107,523 = 24,934.68/x
  3. Step 3: Cross multiply
    71,682.84x = 107,523 × 24,934.68
  4. Step 4: Simplify right side
    71,682.84x = 2,681,051,597.64
  5. Step 5: Solve for x
    x = 2,681,051,597.64/71,682.84
  6. Step 6: Final answer
    x = 37,401.58

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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.