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Finding the Fourth Proportional to 35,586.80, 53,365.80 and 12,201.20

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Solution

The fourth proportional to 35,586.80, 53,365.80 and 12,201.20 is: 18,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,586.80 : 53,365.80 = 12,201.20 : x
  2. Step 2: Convert to fraction form
    35,586.80/53,365.80 = 12,201.20/x
  3. Step 3: Cross multiply
    35,586.80x = 53,365.80 × 12,201.20
  4. Step 4: Simplify right side
    35,586.80x = 651,126,798.96
  5. Step 5: Solve for x
    x = 651,126,798.96/35,586.80
  6. Step 6: Final answer
    x = 18,296.86

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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.