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Finding the Fourth Proportional to 48,039.60, 72,070.66 and 16,450

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Solution

The fourth proportional to 48,039.60, 72,070.66 and 16,450 is: 24,678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,039.60 : 72,070.66 = 16,450 : x
  2. Step 2: Convert to fraction form
    48,039.60/72,070.66 = 16,450/x
  3. Step 3: Cross multiply
    48,039.60x = 72,070.66 × 16,450
  4. Step 4: Simplify right side
    48,039.60x = 1,185,562,357
  5. Step 5: Solve for x
    x = 1,185,562,357/48,039.60
  6. Step 6: Final answer
    x = 24,678.86

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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.