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Finding the Fourth Proportional to 117,677.34, 176,516.10 and 33,426.63

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Solution

The fourth proportional to 117,677.34, 176,516.10 and 33,426.63 is: 50,139.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,677.34 : 176,516.10 = 33,426.63 : x
  2. Step 2: Convert to fraction form
    117,677.34/176,516.10 = 33,426.63/x
  3. Step 3: Cross multiply
    117,677.34x = 176,516.10 × 33,426.63
  4. Step 4: Simplify right side
    117,677.34x = 5,900,338,363.74
  5. Step 5: Solve for x
    x = 5,900,338,363.74/117,677.34
  6. Step 6: Final answer
    x = 50,139.97

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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.