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Finding the Fourth Proportional to 106,557.90, 159,809.10 and 31,660.44

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Solution

The fourth proportional to 106,557.90, 159,809.10 and 31,660.44 is: 47,482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,557.90 : 159,809.10 = 31,660.44 : x
  2. Step 2: Convert to fraction form
    106,557.90/159,809.10 = 31,660.44/x
  3. Step 3: Cross multiply
    106,557.90x = 159,809.10 × 31,660.44
  4. Step 4: Simplify right side
    106,557.90x = 5,059,626,422.00
  5. Step 5: Solve for x
    x = 5,059,626,422.00/106,557.90
  6. Step 6: Final answer
    x = 47,482.41

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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.