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Finding the Fourth Proportional to 102,882.92, 154,300.97 and 49,547.67

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Solution

The fourth proportional to 102,882.92, 154,300.97 and 49,547.67 is: 74,310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,882.92 : 154,300.97 = 49,547.67 : x
  2. Step 2: Convert to fraction form
    102,882.92/154,300.97 = 49,547.67/x
  3. Step 3: Cross multiply
    102,882.92x = 154,300.97 × 49,547.67
  4. Step 4: Simplify right side
    102,882.92x = 7,645,253,294.50
  5. Step 5: Solve for x
    x = 7,645,253,294.50/102,882.92
  6. Step 6: Final answer
    x = 74,310.23

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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.