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Finding the Fourth Proportional to 117,384.98, 176,088.02 and 33,145.99

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Solution

The fourth proportional to 117,384.98, 176,088.02 and 33,145.99 is: 49,721.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,384.98 : 176,088.02 = 33,145.99 : x
  2. Step 2: Convert to fraction form
    117,384.98/176,088.02 = 33,145.99/x
  3. Step 3: Cross multiply
    117,384.98x = 176,088.02 × 33,145.99
  4. Step 4: Simplify right side
    117,384.98x = 5,836,611,144.09
  5. Step 5: Solve for x
    x = 5,836,611,144.09/117,384.98
  6. Step 6: Final answer
    x = 49,721.96

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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.