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Finding the Fourth Proportional to 106,029.71, 159,068.10 and 34,974.38

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Solution

The fourth proportional to 106,029.71, 159,068.10 and 34,974.38 is: 52,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,029.71 : 159,068.10 = 34,974.38 : x
  2. Step 2: Convert to fraction form
    106,029.71/159,068.10 = 34,974.38/x
  3. Step 3: Cross multiply
    106,029.71x = 159,068.10 × 34,974.38
  4. Step 4: Simplify right side
    106,029.71x = 5,563,308,704.10
  5. Step 5: Solve for x
    x = 5,563,308,704.10/106,029.71
  6. Step 6: Final answer
    x = 52,469.34

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1.5x scale

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.