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Finding the Fourth Proportional to 82,141.84, 113,355.66 and 44,416

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Solution

The fourth proportional to 82,141.84, 113,355.66 and 44,416 is: 61,294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,141.84 : 113,355.66 = 44,416 : x
  2. Step 2: Convert to fraction form
    82,141.84/113,355.66 = 44,416/x
  3. Step 3: Cross multiply
    82,141.84x = 113,355.66 × 44,416
  4. Step 4: Simplify right side
    82,141.84x = 5,034,804,994.56
  5. Step 5: Solve for x
    x = 5,034,804,994.56/82,141.84
  6. Step 6: Final answer
    x = 61,294.04

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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.