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Finding the Fourth Proportional to 35,543, 53,314.82 and 12,169.64

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Solution

The fourth proportional to 35,543, 53,314.82 and 12,169.64 is: 18,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,543 : 53,314.82 = 12,169.64 : x
  2. Step 2: Convert to fraction form
    35,543/53,314.82 = 12,169.64/x
  3. Step 3: Cross multiply
    35,543x = 53,314.82 × 12,169.64
  4. Step 4: Simplify right side
    35,543x = 648,822,166.06
  5. Step 5: Solve for x
    x = 648,822,166.06/35,543
  6. Step 6: Final answer
    x = 18,254.57

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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.