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Finding the Fourth Proportional to 35,844.42, 53,766 and 12,470.34

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Solution

The fourth proportional to 35,844.42, 53,766 and 12,470.34 is: 18,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,844.42 : 53,766 = 12,470.34 : x
  2. Step 2: Convert to fraction form
    35,844.42/53,766 = 12,470.34/x
  3. Step 3: Cross multiply
    35,844.42x = 53,766 × 12,470.34
  4. Step 4: Simplify right side
    35,844.42x = 670,480,300.44
  5. Step 5: Solve for x
    x = 670,480,300.44/35,844.42
  6. Step 6: Final answer
    x = 18,705.29

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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.