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Finding the Fourth Proportional to 35,813.80, 53,728.46 and 13,627.60

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Solution

The fourth proportional to 35,813.80, 53,728.46 and 13,627.60 is: 20,444.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,813.80 : 53,728.46 = 13,627.60 : x
  2. Step 2: Convert to fraction form
    35,813.80/53,728.46 = 13,627.60/x
  3. Step 3: Cross multiply
    35,813.80x = 53,728.46 × 13,627.60
  4. Step 4: Simplify right side
    35,813.80x = 732,189,961.50
  5. Step 5: Solve for x
    x = 732,189,961.50/35,813.80
  6. Step 6: Final answer
    x = 20,444.35

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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.