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Finding the Fourth Proportional to 49,116.80, 73,684.80 and 19,529.60

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Solution

The fourth proportional to 49,116.80, 73,684.80 and 19,529.60 is: 29,298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,116.80 : 73,684.80 = 19,529.60 : x
  2. Step 2: Convert to fraction form
    49,116.80/73,684.80 = 19,529.60/x
  3. Step 3: Cross multiply
    49,116.80x = 73,684.80 × 19,529.60
  4. Step 4: Simplify right side
    49,116.80x = 1,439,034,670.08
  5. Step 5: Solve for x
    x = 1,439,034,670.08/49,116.80
  6. Step 6: Final answer
    x = 29,298.22

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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.