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Finding the Fourth Proportional to 55,205.60, 82,808.40 and 38,530.40

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Solution

The fourth proportional to 55,205.60, 82,808.40 and 38,530.40 is: 57,795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,205.60 : 82,808.40 = 38,530.40 : x
  2. Step 2: Convert to fraction form
    55,205.60/82,808.40 = 38,530.40/x
  3. Step 3: Cross multiply
    55,205.60x = 82,808.40 × 38,530.40
  4. Step 4: Simplify right side
    55,205.60x = 3,190,640,775.36
  5. Step 5: Solve for x
    x = 3,190,640,775.36/55,205.60
  6. Step 6: Final answer
    x = 57,795.60

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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.