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Finding the Fourth Proportional to 48,099.84, 72,157.44 and 14,811.84

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Solution

The fourth proportional to 48,099.84, 72,157.44 and 14,811.84 is: 22,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,099.84 : 72,157.44 = 14,811.84 : x
  2. Step 2: Convert to fraction form
    48,099.84/72,157.44 = 14,811.84/x
  3. Step 3: Cross multiply
    48,099.84x = 72,157.44 × 14,811.84
  4. Step 4: Simplify right side
    48,099.84x = 1,068,784,456.09
  5. Step 5: Solve for x
    x = 1,068,784,456.09/48,099.84
  6. Step 6: Final answer
    x = 22,220.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.