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Finding the Fourth Proportional to 55,832.80, 83,619.60 and 38,207.20

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Solution

The fourth proportional to 55,832.80, 83,619.60 and 38,207.20 is: 57,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,832.80 : 83,619.60 = 38,207.20 : x
  2. Step 2: Convert to fraction form
    55,832.80/83,619.60 = 38,207.20/x
  3. Step 3: Cross multiply
    55,832.80x = 83,619.60 × 38,207.20
  4. Step 4: Simplify right side
    55,832.80x = 3,194,870,781.12
  5. Step 5: Solve for x
    x = 3,194,870,781.12/55,832.80
  6. Step 6: Final answer
    x = 57,222.11

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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.