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Finding the Fourth Proportional to 102,072.96, 153,042.96 and 35,508

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Solution

The fourth proportional to 102,072.96, 153,042.96 and 35,508 is: 53,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,072.96 : 153,042.96 = 35,508 : x
  2. Step 2: Convert to fraction form
    102,072.96/153,042.96 = 35,508/x
  3. Step 3: Cross multiply
    102,072.96x = 153,042.96 × 35,508
  4. Step 4: Simplify right side
    102,072.96x = 5,434,249,423.68
  5. Step 5: Solve for x
    x = 5,434,249,423.68/102,072.96
  6. Step 6: Final answer
    x = 53,238.87

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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.