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Finding the Fourth Proportional to 35,842.42, 53,763 and 12,468.34

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Solution

The fourth proportional to 35,842.42, 53,763 and 12,468.34 is: 18,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842.42 : 53,763 = 12,468.34 : x
  2. Step 2: Convert to fraction form
    35,842.42/53,763 = 12,468.34/x
  3. Step 3: Cross multiply
    35,842.42x = 53,763 × 12,468.34
  4. Step 4: Simplify right side
    35,842.42x = 670,335,363.42
  5. Step 5: Solve for x
    x = 670,335,363.42/35,842.42
  6. Step 6: Final answer
    x = 18,702.29

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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.