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Finding the Fourth Proportional to 102,039.50, 153,059.57 and 30,962.73

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Solution

The fourth proportional to 102,039.50, 153,059.57 and 30,962.73 is: 46,444.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,039.50 : 153,059.57 = 30,962.73 : x
  2. Step 2: Convert to fraction form
    102,039.50/153,059.57 = 30,962.73/x
  3. Step 3: Cross multiply
    102,039.50x = 153,059.57 × 30,962.73
  4. Step 4: Simplify right side
    102,039.50x = 4,739,142,418.78
  5. Step 5: Solve for x
    x = 4,739,142,418.78/102,039.50
  6. Step 6: Final answer
    x = 46,444.20

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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.