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Finding the Fourth Proportional to 89,126.70, 133,678.53 and 33,715.50

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Solution

The fourth proportional to 89,126.70, 133,678.53 and 33,715.50 is: 50,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,126.70 : 133,678.53 = 33,715.50 : x
  2. Step 2: Convert to fraction form
    89,126.70/133,678.53 = 33,715.50/x
  3. Step 3: Cross multiply
    89,126.70x = 133,678.53 × 33,715.50
  4. Step 4: Simplify right side
    89,126.70x = 4,507,038,478.22
  5. Step 5: Solve for x
    x = 4,507,038,478.22/89,126.70
  6. Step 6: Final answer
    x = 50,568.89

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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.