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Finding the Fourth Proportional to 82,142.53, 113,356.61 and 44,416.69

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Solution

The fourth proportional to 82,142.53, 113,356.61 and 44,416.69 is: 61,294.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,142.53 : 113,356.61 = 44,416.69 : x
  2. Step 2: Convert to fraction form
    82,142.53/113,356.61 = 44,416.69/x
  3. Step 3: Cross multiply
    82,142.53x = 113,356.61 × 44,416.69
  4. Step 4: Simplify right side
    82,142.53x = 5,034,925,066.91
  5. Step 5: Solve for x
    x = 5,034,925,066.91/82,142.53
  6. Step 6: Final answer
    x = 61,294.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.