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Finding the Fourth Proportional to 82,275.84, 123,249.33 and 37,841.67

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Solution

The fourth proportional to 82,275.84, 123,249.33 and 37,841.67 is: 56,686.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,275.84 : 123,249.33 = 37,841.67 : x
  2. Step 2: Convert to fraction form
    82,275.84/123,249.33 = 37,841.67/x
  3. Step 3: Cross multiply
    82,275.84x = 123,249.33 × 37,841.67
  4. Step 4: Simplify right side
    82,275.84x = 4,663,960,473.58
  5. Step 5: Solve for x
    x = 4,663,960,473.58/82,275.84
  6. Step 6: Final answer
    x = 56,686.88

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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.