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Finding the Fourth Proportional to 120,036.75, 180,064.40 and 35,790.50

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Solution

The fourth proportional to 120,036.75, 180,064.40 and 35,790.50 is: 53,688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,036.75 : 180,064.40 = 35,790.50 : x
  2. Step 2: Convert to fraction form
    120,036.75/180,064.40 = 35,790.50/x
  3. Step 3: Cross multiply
    120,036.75x = 180,064.40 × 35,790.50
  4. Step 4: Simplify right side
    120,036.75x = 6,444,593,828.93
  5. Step 5: Solve for x
    x = 6,444,593,828.93/120,036.75
  6. Step 6: Final answer
    x = 53,688.51

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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.