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Finding the Fourth Proportional to 120,036.25, 180,063.65 and 35,790

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Solution

The fourth proportional to 120,036.25, 180,063.65 and 35,790 is: 53,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,036.25 : 180,063.65 = 35,790 : x
  2. Step 2: Convert to fraction form
    120,036.25/180,063.65 = 35,790/x
  3. Step 3: Cross multiply
    120,036.25x = 180,063.65 × 35,790
  4. Step 4: Simplify right side
    120,036.25x = 6,444,478,033.50
  5. Step 5: Solve for x
    x = 6,444,478,033.50/120,036.25
  6. Step 6: Final answer
    x = 53,687.77

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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.