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Finding the Fourth Proportional to 118,523.24, 177,784.50 and 39,619.40

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Solution

The fourth proportional to 118,523.24, 177,784.50 and 39,619.40 is: 59,428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,523.24 : 177,784.50 = 39,619.40 : x
  2. Step 2: Convert to fraction form
    118,523.24/177,784.50 = 39,619.40/x
  3. Step 3: Cross multiply
    118,523.24x = 177,784.50 × 39,619.40
  4. Step 4: Simplify right side
    118,523.24x = 7,043,715,219.30
  5. Step 5: Solve for x
    x = 7,043,715,219.30/118,523.24
  6. Step 6: Final answer
    x = 59,428.98

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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.