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Finding the Fourth Proportional to 89,143.84, 133,642.80 and 44,716.96

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Solution

The fourth proportional to 89,143.84, 133,642.80 and 44,716.96 is: 67,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,143.84 : 133,642.80 = 44,716.96 : x
  2. Step 2: Convert to fraction form
    89,143.84/133,642.80 = 44,716.96/x
  3. Step 3: Cross multiply
    89,143.84x = 133,642.80 × 44,716.96
  4. Step 4: Simplify right side
    89,143.84x = 5,976,099,741.89
  5. Step 5: Solve for x
    x = 5,976,099,741.89/89,143.84
  6. Step 6: Final answer
    x = 67,038.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.