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Finding the Fourth Proportional to 44,773.40, 61,782.42 and 25,907

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Solution

The fourth proportional to 44,773.40, 61,782.42 and 25,907 is: 35,748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,773.40 : 61,782.42 = 25,907 : x
  2. Step 2: Convert to fraction form
    44,773.40/61,782.42 = 25,907/x
  3. Step 3: Cross multiply
    44,773.40x = 61,782.42 × 25,907
  4. Step 4: Simplify right side
    44,773.40x = 1,600,597,154.94
  5. Step 5: Solve for x
    x = 1,600,597,154.94/44,773.40
  6. Step 6: Final answer
    x = 35,748.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.