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Finding the Fourth Proportional to 138,476.98, 207,715.48 and 33,295.94

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Solution

The fourth proportional to 138,476.98, 207,715.48 and 33,295.94 is: 49,943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,476.98 : 207,715.48 = 33,295.94 : x
  2. Step 2: Convert to fraction form
    138,476.98/207,715.48 = 33,295.94/x
  3. Step 3: Cross multiply
    138,476.98x = 207,715.48 × 33,295.94
  4. Step 4: Simplify right side
    138,476.98x = 6,916,082,159.15
  5. Step 5: Solve for x
    x = 6,916,082,159.15/138,476.98
  6. Step 6: Final answer
    x = 49,943.91

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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.