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Finding the Fourth Proportional to 35,541.96, 53,201.16 and 24,383.40

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Solution

The fourth proportional to 35,541.96, 53,201.16 and 24,383.40 is: 36,498.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,541.96 : 53,201.16 = 24,383.40 : x
  2. Step 2: Convert to fraction form
    35,541.96/53,201.16 = 24,383.40/x
  3. Step 3: Cross multiply
    35,541.96x = 53,201.16 × 24,383.40
  4. Step 4: Simplify right side
    35,541.96x = 1,297,225,164.74
  5. Step 5: Solve for x
    x = 1,297,225,164.74/35,541.96
  6. Step 6: Final answer
    x = 36,498.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.