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Finding the Fourth Proportional to 106,703.28, 159,927.30 and 49,700.34

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Solution

The fourth proportional to 106,703.28, 159,927.30 and 49,700.34 is: 74,491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,703.28 : 159,927.30 = 49,700.34 : x
  2. Step 2: Convert to fraction form
    106,703.28/159,927.30 = 49,700.34/x
  3. Step 3: Cross multiply
    106,703.28x = 159,927.30 × 49,700.34
  4. Step 4: Simplify right side
    106,703.28x = 7,948,441,185.28
  5. Step 5: Solve for x
    x = 7,948,441,185.28/106,703.28
  6. Step 6: Final answer
    x = 74,491.07

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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.