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Finding the Fourth Proportional to 35,872.40, 53,808.60 and 9,581.20

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Solution

The fourth proportional to 35,872.40, 53,808.60 and 9,581.20 is: 14,371.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,872.40 : 53,808.60 = 9,581.20 : x
  2. Step 2: Convert to fraction form
    35,872.40/53,808.60 = 9,581.20/x
  3. Step 3: Cross multiply
    35,872.40x = 53,808.60 × 9,581.20
  4. Step 4: Simplify right side
    35,872.40x = 515,550,958.32
  5. Step 5: Solve for x
    x = 515,550,958.32/35,872.40
  6. Step 6: Final answer
    x = 14,371.80

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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.