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Finding the Fourth Proportional to 35,935.20, 53,893.20 and 12,559.20

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Solution

The fourth proportional to 35,935.20, 53,893.20 and 12,559.20 is: 18,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,935.20 : 53,893.20 = 12,559.20 : x
  2. Step 2: Convert to fraction form
    35,935.20/53,893.20 = 12,559.20/x
  3. Step 3: Cross multiply
    35,935.20x = 53,893.20 × 12,559.20
  4. Step 4: Simplify right side
    35,935.20x = 676,855,477.44
  5. Step 5: Solve for x
    x = 676,855,477.44/35,935.20
  6. Step 6: Final answer
    x = 18,835.44

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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.