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Finding the Fourth Proportional to 82,095.84, 123,113.52 and 29,491.20

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Solution

The fourth proportional to 82,095.84, 123,113.52 and 29,491.20 is: 44,225.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,095.84 : 123,113.52 = 29,491.20 : x
  2. Step 2: Convert to fraction form
    82,095.84/123,113.52 = 29,491.20/x
  3. Step 3: Cross multiply
    82,095.84x = 123,113.52 × 29,491.20
  4. Step 4: Simplify right side
    82,095.84x = 3,630,765,441.02
  5. Step 5: Solve for x
    x = 3,630,765,441.02/82,095.84
  6. Step 6: Final answer
    x = 44,225.94

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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.