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Finding the Fourth Proportional to 117,824.71, 176,710.43 and 33,583.06

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Solution

The fourth proportional to 117,824.71, 176,710.43 and 33,583.06 is: 50,367.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,824.71 : 176,710.43 = 33,583.06 : x
  2. Step 2: Convert to fraction form
    117,824.71/176,710.43 = 33,583.06/x
  3. Step 3: Cross multiply
    117,824.71x = 176,710.43 × 33,583.06
  4. Step 4: Simplify right side
    117,824.71x = 5,934,476,615.50
  5. Step 5: Solve for x
    x = 5,934,476,615.50/117,824.71
  6. Step 6: Final answer
    x = 50,367.00

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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.