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Finding the Fourth Proportional to 35,832.80, 53,749.20 and 13,638.80

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Solution

The fourth proportional to 35,832.80, 53,749.20 and 13,638.80 is: 20,458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,832.80 : 53,749.20 = 13,638.80 : x
  2. Step 2: Convert to fraction form
    35,832.80/53,749.20 = 13,638.80/x
  3. Step 3: Cross multiply
    35,832.80x = 53,749.20 × 13,638.80
  4. Step 4: Simplify right side
    35,832.80x = 733,074,588.96
  5. Step 5: Solve for x
    x = 733,074,588.96/35,832.80
  6. Step 6: Final answer
    x = 20,458.20

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1.5x scale

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.