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Finding the Fourth Proportional to 89,233.76, 133,672.16 and 53,675.46

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Solution

The fourth proportional to 89,233.76, 133,672.16 and 53,675.46 is: 80,405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,233.76 : 133,672.16 = 53,675.46 : x
  2. Step 2: Convert to fraction form
    89,233.76/133,672.16 = 53,675.46/x
  3. Step 3: Cross multiply
    89,233.76x = 133,672.16 × 53,675.46
  4. Step 4: Simplify right side
    89,233.76x = 7,174,914,677.19
  5. Step 5: Solve for x
    x = 7,174,914,677.19/89,233.76
  6. Step 6: Final answer
    x = 80,405.83

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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.