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Finding the Fourth Proportional to 82,506.94, 113,861.64 and 44,781.10

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Solution

The fourth proportional to 82,506.94, 113,861.64 and 44,781.10 is: 61,799.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,506.94 : 113,861.64 = 44,781.10 : x
  2. Step 2: Convert to fraction form
    82,506.94/113,861.64 = 44,781.10/x
  3. Step 3: Cross multiply
    82,506.94x = 113,861.64 × 44,781.10
  4. Step 4: Simplify right side
    82,506.94x = 5,098,849,487.00
  5. Step 5: Solve for x
    x = 5,098,849,487.00/82,506.94
  6. Step 6: Final answer
    x = 61,799.04

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Why These Related Problems?

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