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Finding the Fourth Proportional to 84,053.84, 126,099.21 and 24,894.14

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Solution

The fourth proportional to 84,053.84, 126,099.21 and 24,894.14 is: 37,346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,053.84 : 126,099.21 = 24,894.14 : x
  2. Step 2: Convert to fraction form
    84,053.84/126,099.21 = 24,894.14/x
  3. Step 3: Cross multiply
    84,053.84x = 126,099.21 × 24,894.14
  4. Step 4: Simplify right side
    84,053.84x = 3,139,131,387.63
  5. Step 5: Solve for x
    x = 3,139,131,387.63/84,053.84
  6. Step 6: Final answer
    x = 37,346.67

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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.