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Finding the Fourth Proportional to 109,948.50, 164,914.47 and 35,065.62

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Solution

The fourth proportional to 109,948.50, 164,914.47 and 35,065.62 is: 52,595.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,948.50 : 164,914.47 = 35,065.62 : x
  2. Step 2: Convert to fraction form
    109,948.50/164,914.47 = 35,065.62/x
  3. Step 3: Cross multiply
    109,948.50x = 164,914.47 × 35,065.62
  4. Step 4: Simplify right side
    109,948.50x = 5,782,828,137.52
  5. Step 5: Solve for x
    x = 5,782,828,137.52/109,948.50
  6. Step 6: Final answer
    x = 52,595.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.